the diagram shows a semicircle inside a rectangle

Weekly Problem 53 - 2012 A triangle has been drawn inside this circle. Which two organisms in the food web would most likely be affected by a decrease in producers, or the plants, at the bottom base of the food web? Is it possible to rotate a window 90 degrees if it has the same length and width? Now find the area of the semicircle using the formula \(A=\frac{\pi r^2}{2}\). WebArea Of Combined Shapes Expert-Verified Answer The figure is made up of a rectangle and two semicircles. Weekly Problem 1 - 2006 What is the greatest number of sides the polygon could have? We have to find the perimeter of the shaded region. in back-to-col About 5 % of hourly paid workers in a region earn the prevailing minimum wage or less. Before we begin calculating, lets take another look at our stadium. Can you work out the size of the angle JFI? 'sqrt(2 - sqrt(2))/2 b. The area outside the rectangle but in the semicircle is shaded. Can you work out the size of the marked angle? Emily read 24 fiction books and 2 nonfiction books. All rights reserved. What is the side length of the original triangle? Now that we know the area of both objects that make up our composite shape, we can add them together to get our total area. The square has a perimeter of 32 centimeters. Give your answer in Weekly Problem 12 - 2016 The diagram shows a semi circle inside a rectangle of length 140m. You can specify conditions of storing and accessing cookies in your browser, The diagram shows a semi circle inside a rectangle of length 150m. i-Ready NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to In the diagram, the radius of the circle is equal to the length AB. The two semicircles on either end make a circle. The diagram shows a regular hexagon inside a rectangle. Use 3.14 for \(\pi\). Just remember to take your time and double check your work, and you'll be solving math problems like a pro in no time! Let xand ybe as in the gure. Find the dimensions of the corral Math asked by Alex 672 views 0 answers A Norman window has the shape of a rectangle surmounted by a semicircle. ! WebNaudain 5 - Light Dimmable Square / Rectangle Chandelier by Laurel Foundry Modern Farmhouse $236.99 $515.00 ( 209) Fast Delivery FREE Shipping Get it by Tue. Try to make sure that the circle uses even dimensions. WebWe start by labelling the diagram as shown. So it makes sense to write it as an approximation. How many of the five properties can a heptagon have? How long is the fence? In the diagram, two lines have been drawn in a square. What is the sum of the three marked angles? A set of 4 consecutive even integers adds up to 380. It only takes a minute to sign up. When would a personal letter be appropriate 20 points- a researcher observes and records the height of a weight moving up and down on the end of a spring. The diagram shows a semi-circle inside a rectangle of length 140 m. The semi-circle touches the rectangle at P, Q and R. 140 m P Q R Not to scale Calculate the perimeter of the shaded region. Can you work out the perimeter of the quadrilateral? Use the distributive property to write an expression that is equivalent to 8 (a + 4) The perimeter of a semicircle is half of the circumference plus the diameter. that the lines AD and BE produced pass through P. The diagram shows two semicircular arcs, PQRS and QOR . WebArea Of Combined Shapes Expert-Verified Answer The figure is made up of a rectangle and two semicircles. The diagram shows two circles enclosed in a rectangle. Webshape of a rectangle on three sides, and then a semicircle on the fourth side (The diameter of the semicircle is equal to the width of the rectangle). How big is the angle between the hour hand and the minute hand of a clock at twenty to five? As the perimeter of Circle = 2**r, where r is the Radius. what does this mean about the elasticity of supply for memberships? M is any point on the line AB. An equilateral triangle is drawn inside a rhombus, both with equal side lengths. give your answer correct to 3 significant figures. Weekly Problem 13 - 2012 A garden has the shape of a right-angled triangle. \(108\text{ ft}^2+14.13\text{ ft}^2=122.13\text{ ft}^2\). Given four of the angles in two triangles, can you find the smallest angle overall? The diagram shows a rectangle ABCD and a semicircle with diameter AB wher: AB= Good Question (125). Rectangle: \(A=l\times w\) becomes \(A=18\times6\), which simplifies to \(A=108\text{ ft}^2\). But other shapes dont have common names or formulas. Two rectangles are drawn in a rectangle. What is the size of one of the angles? at the beginning of the ob 3. is the supply curve shallow or steep? But thats all the information that we need! What sort of strategies would a medieval military use against a fantasy giant? Can you find the area of the triangle from its height and two sides? Notice that we used the approximately equal to symbol \(( \approx)\) since our semicircle area is now an approximation. At this rate, how many windows can she wash in one hour. Hence, . Which statement about unfunded mandates is false? Weekly Problem 11 - 2014 the diagram shows a semicircle inside a rectangle the length of the rectangle is 150m find the area of the shaded part. You will receive an answer to the email. Advanced Math questions and answers. View a few ads and unblock the answer on the site. The NRICH Project aims to enrich the mathematical experiences of all learners. What is the value of x? Calculate the perimeter. The diagram shows a square, with lines drawn from its centre. In the activity, when Na lost an e- it shrank and the Cl+ grew in size. *"-"'sqrt(2 + sqrt(2))/29 c.'sqrt(2 + sqrt(2))/4" d. "-"sqrt(2 + sqrt(2))/4), What is the axis of symmetry of the function f(x)=-(x+ 9)(x-21), What number line represents the solution set for the inequality -1/2 greater than or equal to 4. \(\frac{\pi r^2}{2}\) becomes \(\frac{(3.14){(5)}^2}{2}\), which simplifies to \(39.25\text{ cm}^2\). Weekly Problem 2 - 2009 hypotenuse: 13 opposite:5 adjacent: 12. All rights reserved. In this diagram a semi circle is drawn inside a rectangle of length 150m. A regular pentagon together with three sides of a regular hexagon form a cradle. the allowance method is used. what is the measure of abp? What is the greatest of the 4 integers? Weekly Problem 15 - 2012 Area of the rectangle = length x breadth For nitrogen to be a liquid, its temperature must be within 12.78 F of 333.22 F. Given three sides of a quadrilateral, what is the longest that the fourth side can be? Give your answer in terms of . If the height of the rectangle is h, write an expression in terms of r and h for the Area and Perimeter of 47 centimeters . What is the area of the We find the area of the rectangle using the formula We find the area of one Since each semicircle is half of a circle, the perimeter of the two semicircles is equal to the circumference of one circle. If four copies of this triangle are joined together to form a parallelogram, what is the largest possible perimeter of the parallelogram? This is part of our collection of Short Problems. It may not display this or other websites correctly. We have more than 5 000 verified experienced expert. Weekly Problem 8 - 2016 What is the ratio of pairs of red shoes to pairs of black shoes? And since we know that the width of our shape is \(20\) meters, we can find the radius by dividing that by \(2\)! WebPerimeter of a semicircle Remember that the perimeter is the distance round the outside. Find the total number of points the team scored. University of Cambridge. Show that the diameter of the circle is equal to the perimeter of the triangle. Prove that the angle bisectors of a triangle can never meet at right angles. A=length*width. 8 entimeters . Can you find the radius of the circle inscribed inside a '3-4-5 triangle'? There are two ways to find the area of . Match each part of a circle with the correct name. What is the size of the marked angle? hm 2r m The diagram shows a glass window consisting of a rectangle of height hm and width 2r m and a semicircle of radius rm. Perimeter of the shaded region = length of tangents drawn on the circle at A and B + m(arc AB), Length of tangents = radius of the semi circle = 75 m, and m(arc AB) = Perimeter of a circle/ 4 = (2 x pi x r) / 4, Now Perimeter of the shaded region = 75 + 75 + 117.75, This site is using cookies under cookie policy . Once again, we use the approximately equal to symbol because our semicircle areas are now an approximation. is given by A = 8r - 27? Answer: 60 The square removed from the lower right corner of the rectangle does not change the perimeter of the polygon, but when each of the other ve squares is removed, the perimeter is increased by 4. Calculate the PERIMETER of the WebQ1.The diagram shows a rectangle inside a semicircle. Weekly Problem 10 - 2012 This one is made up of a rectangle and a semicircle, which is half a circle, as we can see here: To find the area of this shape, we need to find the area of the rectangle at the bottom and the area of the semicircle at the top and then simply add the two together to get our total area. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. In this diagram a semi circle is drawn inside a rectangle of length 150m. Did this satellite streak past the Hubble Space Telescope so close that it was out of focus? The diagram is not drawn to scale. Place equal, regular pentagons together to form a ring. The blue rectangle (swimming pool) measures \(20\text{ ft} \times\ 10\text{ ft}=200\text{ ft}^2\). a: startled by its own reflection, the cat jumped in the air. And millions of other answers 4U without ads. Add the area of the square to the area of the semicircle. How large is this acute angle? WebThe figure shows a rectangle abcd with a semicircle can be found online or in mathematical textbooks. WebThe figure shows a rectangle abcd with a semicircle - Best of all, The figure shows a rectangle abcd with a semicircle is free to use, so there's no sense not To log in and use all the features of Khan Academy, please enable JavaScript in your browser. WebThe diagram shows a rectangle inside a semicircle. Find the area of the shaded region. To support this aim, members of the WebThe figure shows a rectangle ABCD with a semi circle and a circle inscribed inside it as shown. University of Cambridge. The area of the rectangle is found using the formula \(A=l\times w\). The rectangle has dimensions 16 cm by 6 cm Not drawn accurately Work out the shaded area. What fraction of the square is shaded? Squares of side length AM and MB are Each interior angle of a particular polygon is an obtuse angle which is a whole number of degrees. The equation |x + 333.22 | = 12.78 can be used to find x, which represents the maximum and minimum temperatures at which nitrogen is a liquid. Antonio wants to use chalk to draw a basketball court on his driveway similar to the image. The diagram shows a semi-circle inside a rectangle. Can you work out one of the angles? A rectangle is inside a semicircle. We find the area of the rectangle using the formula We find the area of one Which of the statements about diagonals of polygons is false? WebClear up math problem Solving math problems can be tricky, but with a little practice, anyone can get better at it. explain a strat Aquadrilateral has all sides congruent, opposite sides are parallel, and opposite angles are congruent. Weekly Problem 45 - 2008 In the figure, what is the value of x? Q1.The diagram shows a rectangle inside a semicircle. Draw a straight line from center of circle to, The top two points of the rectangle touch the circumference of the semicircle. Weekly Problem 26 - 2006 a.Write and solve an equation to find the number of miles for which both agencies will charge the same. The perimeter of the window is 8 m. (i) Express h in terms of r. 121 (ii) Show that the area of the window, A m. A rectangle is to be inscribed in a semicircle of radius r cm. What is the size of the smallest angles of the trapezoidal stones? The NRICH Project aims to enrich the mathematical experiences of all learners. We could use \(3.14\) as an approximation for pi and multiply by \(50\) to get an approximate area that could be a bit more useful for a real world problem, but first, lets find the area of our rectangle. ABCDEFGHI is a regular nine-sided polygon (called a 'nonagon' or 'enneagon'). If you're seeing this message, it means we're having trouble loading external resources on our website. WebThe figure shows a rectangle abcd with a semicircle. Which of the five diagrams below could be drawn without taking the pen off the page and without drawing along a line already drawn? In truth, we dont really need the formula. Many people have preconceived ideas about individuals who engage in risky or illegal behaviors ( such as prostitution and drug abuse). The diagram shows a regular pentagon with two of its diagonals. What is the sum of the interior angles of the resulting polygon? The ultra-broadband absorber (MA) structure is proposed as shown in Fig. Weekly Problem 19 - 2017 The diagram shows an equilateral triangle touching two straight lines. WebIn addition, The figure shows a rectangle abcd with a semicircle can also help you to check your homework. WebThis implies that (r=radius of semicircle). the semi circle touches the rectangle at P, Q and R. Calculate the perimeter of the shaded region. Hence, Area of the shaded region = 4 * (3.14 * (a * a) / 8 ) a * a max area $= \frac{p-2x}{2} \times \frac{-b}{2a}$. WebThe figure shows the rectangle ABCD with a semicircle and a. If you already know that the largest rectangle in a circle is a square with side $\sqrt2\,r$ then you halve that to answer this question. The area of a rectangle is A=length*width. WebAdvanced Math. Weekly Problem 50 - 2008 Also $P = 2h + 4x$. Find the perimeter of this polygon. In Trigonometry, the tangent 546 Consultants 89% Recurring customers 91581 Use 3.14 for \(\pi\). Perimeter of the shaded region = length of tangents drawn on the circle at A and B + m (arc AB) The circle and rectangle have the same centre. Weekly Problem 18 - 2011 What is the shaded area? Show that for any triangle it is always possible to construct 3 The diagram shows a rhombus and an isosceles triangle. Weekly Problem 8 - 2008 How can I use it? Here the width, or the diameter, is \(73\) meters, so our radius is \(36.5\) meters. What is the area of the region common to this triangle and square? You can find more short problems, arranged by curriculum topic, in our. Replacing broken pins/legs on a DIP IC package, How to tell which packages are held back due to phased updates. The diameters, PS and QR, of the two semicircles are parallel; PS is of length 4 and is a tangent to semicircular arc The diagram shows a circle inside a square. The time is 20:14. You are supposed to write in terms of $r$ and $h$. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Learn step-by-step; Fast solutions; Figure out math equations Can you right me an essay about? Approach: We know the biggest rectangle that can be inscribed within the semicircle has, length, l=2R/2 & breadth, b=R/2 ( Please refer ) Also, the biggest circle that can be inscribed within the rectangle has radius, r=b/2=R/22 ( Please refer ) So area of the circle, A=*r^2= (R/22)^2 C++ Java Python3 C# PHP Javascript Using Kolmogorov complexity to measure difficulty of problems? Each side of the square has length \(2\times5\text{ cm}=10\text{ cm}\). The rectangle has dimensions of 16cm by 6cm. The area of the rectangle is \(40.5\text{ cm}^2\). Peter earns $32,000 per year plus a 2.5 % commission on his jewelry sales. Looking at our diagram, though, we see that we could draw another radius that is horizontal. Weekly Problem 18 - 2007 What is \newluafunction? What is the value of x? c) khi b Give your answer in terms of z Answer cin cm2 Total 4 marks) Hi, and welcome to this video about finding the area of composite shapes made of rectangles and semicircles. What is the ratio of the areas marked? Substitute the values of length and area and solve for width. Thats one piece of the puzzle completed. WebThe figure shows the rectangle ABCD with a semicircle and a. The area of the square is \(10\text{ cm} \times\ 10\text{ cm}\), which equals \(100\text{ cm}^2\). b.Which agency offers the better deal if you plan to drive at least 1000 miles during the three weeks. What is the sum of the four marked angles? What is the size of angle PQR? true false John locke and thomas jefferson both believed that the purpose of the government is to protect the rights of citizens. The rectangle has dimensions of 16cm by 6cm. @David see Math comment. Thats the exact area. This is the typical information given for this type of problem. If the shape on the inside is a rectangle, what can you say about the shape on the outside? Uh-oh! A fence goes from the corner with the right-angle to a point on the opposite side. Today well find the area for a couple of those shapes. A rectangle is inside a semicircle. What is the distance between the centres of the circles? Weekly Problem 19 - 2014 Web16. Two lines meet at a point. WebThe diagram shows a circle split into two regions: A and B. Can you find the perimeter of this triangle inscribed in a hexagon? Find Peter s total salary for the year when his sales are valued at $420,000. In the diagram, VWX and XYZ are congruent equilateral triangles. How many pentagons will be needed? Use 3.14 for \(\pi\). \(24\text{ ft} \times 14\text{ ft}=336\text{ ft}^2\). Learn More \(\text{Area of a Semicircle}=\frac{r^{2}}{2}\), \(\text{Area of a Tombstone Shape}=lw+\frac{r^{2}}{2}\), \(\text{Area of a Semicircle}=\frac{r}{22}\), \(\text{Exact Area of Tombstone Shape}=(800+50)m^{2}\), \(\text{Approximate Area of Tombstone Shape}\approx{800}, \(\text{Rectangle Length}=157.4\text{ meters}-36.5\text{ meters}\), \(\text{Exact Area of Stadium Infield}=6,161.2\text{ m}^2\), \(\text{Area of Stadium}\approx 6,161.2\text{ m}^2\), All content on this website is Copyright 2023. If the original Copyright 1997 - 2023. Is it possible to You need to rent the car for 3 weeks. We have to find Thus, the Use 3.14 for \(\pi\). Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. A 12p + 18 3 B 24p - 3 3 C 18p - 8 3 D 18p + 12 3 E 24p + 18 3 17. The rectangle has dimensions 16 cm by 6 cm Not drawn accurately Work out the shaded area. 60= width. Weekly Problem 31 - 2016 The diagram shows the surface of a pond in the shape of a circle. What is its area? Inside of that frame, create a circle using the ellipse tool. What is the area of the entire figure? Learn more about Stack Overflow the company, and our products. population was 6000 bacteria, calculate the size of the population after 1 Length of diameter of a semicircle = 150 m. So radius of the semicircle. A quadrilateral can have four right angles. w1, l1, and h1 are the width, length, and height of the SiO2 rectangle, respectively. \(153.86\text{ ft}^2+336\text{ ft}^2=489.86\text{ ft}^2\). The diagram shows three squares drawn on the sides of a triangle. What is the value of $x$? In addition, we note that the angle at A is common to 4 AFC and 4 AGD. The diagram shows a semi-circle inside a rectangle of length 150 m. The semi-circle touches the rectangle at A, B and C.. Calculate the area of the two semicircles (one circle): \(A=\pi r^2\) becomes \(A=(3.14)(30)^2\), which simplifies to \(A=2{,}826\text{ ft}^2\). Semicircle: \(A=\frac{\pi r^2}{2}\) becomes \(A=\frac{(3.14)(3)^2}{2}\), which simplifies to \(A=14.13\text{ ft}^2\). Weekly What is the perimeter of the square? Well find the approximate total area after we find our rectangles area. Calculate the surface area of the image below. 1 a, which consists of metal Ti, a grid structure formed by dielectric GaAs and a SiO 2 rectangular structure. The 16 by 9 rectangle is cut as shown. The area of the semicircle is found using the formula \(A=\frac{\pi r^2}{2}\). Weekly Problem 39 - 2008 An irregular hexagon can be made by cutting the corners off an equilateral triangle. Three of the angles in this diagram all have size $x$. What is the angle QPT in this diagram? Given ab and cb are tangents of p, and m =10. sin ( A / 2 ) + cos ( A / 2 ) + sin 535+ PhD Experts 83% Recurring customers he wants to volunteer at the same rate until he completes 100 hours. If so, how close was it? Is a PhD visitor considered as a visiting scholar? WebThe diagram shows a circle split into two regions: A and B. So our radius is \(10\) meters! WebMaximize the area of a rectangle inside a semicircle of radius a 1) A geometry student wants to draw a rectangle inscribed in a semicircle of radius 3. Two equilateral triangles have been drawn on two adjacent sides of a square. Since all semicircles are of same radius, therefore, area of all semicircles will be equal. Thanks for watching, and happy studying! 67 13 5 Expert-Verified Answer According to this diagram, the tan67 is 12/5. Weekly Problem 41 - 2016 Mathematics : asked on moon3194. Weekly Problem 29 - 2013 n^2 - 49 = 0, The diagram shows a semi circle inside a rectangle of length 150m. ITS ON MATHSWATCH PLS HELP!! Which of the following sentences contains a possessive pronoun? 6.One car rental agency charges $0.29 per mile plus a $10 weekly fee. Why does Mister Mxyzptlk need to have a weakness in the comics? (4) www.justmaths.co.uk Q15. He wants the rectangle to be 18 ft by 6 ft. The diagram shows a rectangle ABCD and a semicircle with diameter AB wher: AB= Good Question (125). How can an identical hexagon be made by cutting the corners off a different equilateral triangle? Weekly Problem 21 - 2010 Calculate the area of the compound figure. The speed limit on highways in florida is 70 miles per hour write and solve an inequality to find how long it will take to travel 105 miles from orlan Arecipe for a fruit drink calls for 2 cups of fruit juice for every 5 cups of water. Length of diameter of a semicircle = 150 m So radius of the semicircle = 150/ 2 = 75m We Area of a Rectangle = l w. In this case, we only have half of a circle, so we need to modify our circle formula a bit. Weekly Problem 27 - 2014 How many right angled triangles are formed by the points in this diagram? Weekly Problem 18 - 2008 What is the sum of the four marked angles? We find the approximate area of our two semicircles by multiplying \(1,332.25\) by on our calculators to find \(4,185.39\text{ m}^2\). The region that lies inside both the rectangle and the circle is shaded. Which statement about the evolution of same-sex marriage is false? Weekly Problem 29 - 2010 Now we have all the information we need: Lets find the area of our semicircle first: The area of our semicircle is \(50\) pi meters squared. explain your answer. To which graph does the point (-1,3) belong to a) y (> or = to) 3x-1 b) y (> or = to) -x + 3 c) y (> or = to) -2x + 5. Add the two areas: \(100\text{ cm}^2+39.25\text{ cm}^2=139.25\text{ cm}^2\). Now we can not only find the area of the semicircle, but we can also find the length of the rectangle! The diagram shows a semi circle inside a rectangle of length How do you know. The diagram shows contains some equal lengths. To get a more useful approximate value, we can multiply \(50\) by an approximation of pi using the key on our calculator to get an approximate area of \(157.08\) meters squared. The rectangle has dimensions of 16cm by 6cm. WebThe diagram shows a polygon made by removing six 2 2 squares from the sides of an 8 12 rectangle. Web1 Below shows different parts of a circle indicated by an arrow. WebThe figure shows a rectangle abcd with a semicircle. (9 +21) + (1 - 1) (9 +41)+(-1 - 71) (7 +21) + (1 - 1) (7 +41)+(-1-71). Inequality between humans and androids in do androids dream of electric sheep and bladed. Can you find the area of the overlap when these two beer mats are placed on top of each other? In this diagram a semi circle is drawn inside a rectangle of length 150m. (any number that ends in 0,2,4,6,8, just in case you were confused). Give your answer in terms of . Weekly Problem 28 - 2013 PQ has length 1. What is one of the angles of the rhombus? Can you find the length of the chord it forms? What is the ratio of the number of fiction books she read to the total number of books that she read? Can you work out one particular angle? Styling contours by colour and by line thickness in QGIS. Now subtract this from the rectangles area. The diagram shows a regular pentagon and regular hexagon which overlap. Which graph shows a negative correlation? How many diagonals can you draw on this square A square, regular pentagon and equilateral triangle share a vertex. Now calculate the area of the large green rectangle. Calculate the area of the rectangle: \(A=l\times w\) becomes \(A=55\text{ ft}\times60\text{ ft}\), which simplifies to \(A=3{,}300\text{ ft}^2\). Give your answer in terms of . In the diagram, $PT = QT = TS$ and $QS = SR$. Correct answers: 2 question: The diagram shows a semi circle inside a rectangle of length 140m. And, the bottom two points of the rectangle touch the diameter of the semicircle. Can you find the value of x in this diagram? Red shoes : black shoes = 2/6 = 1/3 = 1:3, Ratio of sand in small bag: medium bag : Large bag = 2:3:7, Total commission = 2.5/100 * 420,000 = $10,500, Peters total salary = $32,000 + $10,500 = $42,500. The diagram shows a parallelogram inside a triangle. Now that we know the area of the parts that make up our stadium shape we simply add them together: While exact, this answer wouldnt be decipherable by most people. Weekly Problem 27 - 2007 The diagram shows a grid of $16$ identical equilateral triangles. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. We believe you can perform better on your exam, so we work hard to provide you with the best study guides, practice questions, and flashcards to empower you to be your best. What is the angle between the triangles? , c bm y th trong b c bao nhiu lt nc. Weekly Problem 41 - 2014 Find the percent of decrease in the price of the scooter. Brian scored 1/10 of the points for his basketball team in the state championship game. The area of the circle (two semicircles) is calculated as \(\pi r^2\). The diagram shows two parallel lines and two angles. The square has a perimeter of 32 centimeters. do you believe that this daniel completed 33 volunteer hours at an animal shelter during 6 weeks. But first we need to review the formulas used to find the areas of rectangles and circles. WebSolution Place a rectangle inside a semicircle as shown below. 2021-05-20 The diagram shows a semi-circle inside a rectangle. So to find the area of both semicircle ends at once, we can just use the formula for the area of a whole circle: The area of our two semicircles together is \(1,332.25\text{ m}^2\). How much grass will be planted? Add the two areas together: \(3{,}300\text{ ft}^2+2{,}826\text{ ft}^2=6{,}126\text{ ft}^2\). WebThe diagram shows a semi-circle inside a rectangle of length 140 m. The semi-circle touches the rectangle at P, Q and R. 140 m P Q R Not to scale Calculate the perimeter If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas. Weekly Problem 27 - 2013

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the diagram shows a semicircle inside a rectangle