MEP Y8 Practice Book A 51 3. (a) Calculate the circumference of a circle of radius 30 cm. Work out the shaded area. 12 The diagram shows a circle drawn inside a square. The circle has a radius of 6 cm. Work out the shaded area. What is the area ... QP=QR=9 cm and PR=PS=6 cm.What is the length SR ?A 1cm B 2cm C 3cm D 4cm E 5cm. The square has a side of length 12 cm. 5. 6 cm Diagram … The radius of the circle is 6 cm. To find the shaded area we need to subtract the area of the rectangle from the area of the semi-circle. Give your answer in terms of π. The metal rods have a weight of 0.9 kg per metre. The rectangle has dimensions 16 cm by 6 cm Work out the shaded area. The diagram shows a circle of radius 2 and a square. Give your answer in terms of π. Q4. [3] www.justmaths.co.uk Circles (F) - Version 3 January 2016 CREDITS AND NOTES Question Awarding Body Question Awarding Body 1 OCR 9 AQA … Give your answer correct to 3 significant figures. Click hereto get an answer to your question ️ In the diagram, a square ABCD has a side with a length of 6 cm. No … Q7. What is the length of each side of the square? 6 cm 40 cm 9 cm 5 cm 8 cm 4 m 3.5 m 6 cm 5 cm 8 cm 10 cm 15 mm 36 mm 30 cm 16 cm. The diagram shows a circle which touches all four sides of a square. Calculate the area of the shaded region. The diagram shows a circle inside a square. [4] 9. The diagram shows a solid hemisphere of radius 5 cm. Give your answer in terms of m. c;rclc 1 cm2 19-14 — oh 72 (Total for Question 12 is 3 marks) 13 Turn over p 40 673 013 28 11 (a) Expand 4(3x + 5) (2) (2) This video explains how to determine the area between a square and circle.http://mathispower4u.com The length of the prism is 25 cm. Give your answer, in kg, correct to 3 significant figures..... kg (Total for Question 9 is 4 marks) Diagram NOT accurately drawn A 200 cm 60 cm C B D *P48196A01128* 11 Turn over … Work out the shaded area. The rectangle has dimensions 16 cm by 6 cm. A square has a length of 12cmThe area of the square if 12x12=144The area of the circle is pi*6^2=36piView my channel: http://www.youtube.com/jayates79 [3 marks] [2 marks] [4 marks] Q2. Give your answer correct to 3 … He needs to mix cement, sand and gravel in the ratio of 1 : 3 : 5 by … Points A, B, and C lie on the circle, and . Il The points A, B, C and D lie on the circle. 13. The diameter of the circle is 11 cm. Work out the area of the shaded section. The formula to find the area of a circle is π x r 2. 3.142*64=201.088 (the area) kason11wd and 13 more users … (Diagram not accurately drawn) 6 12 cm The circle has a radius of 6 cm. A rectangle has sides of lengths 5 cm and 10 cm. Work out the total weight of the framework. The diagram shows a sector of a circle of radius 7 cm. CONTEXT: This question came up in a Team Maths Challenge I did back in November. Work out the volume of the prism. The diagram shows a sector of a circle of radius 7 cm. Find the length of arc . The area of a right-angled, isosceles triangle is 4 cm 2 Work out the perimeter of the triangle in centimetres. The diagram shows a square (6x - 1) cm by (4x + 6) cm find the length of the side of the square. The diagram shows a square ABCD inside a circle. Solution. Four identical circles just fit inside a square as shown. Four identical circles just fit inside a square as shown. Find the area of the shaded region. The radius of the circle is 6 cm. A circle has diameter 10 cm A square has side length 6 cm Not drawn accurately 10 cm Use Pythagoras' theorem to show that the square will fit inside the circle without touching the edge of the circle. so žq- 20 ok cC(..Cw = ù--Oc-tQ-) 62. You must show your working. Give your answer correct to 3 significant figures. Answer: 201.088. The circle touches the sides of the square. He needs to mix cement, sand … Q3. Find the total surface area of the solid hemisphere. The diagram shows a rectangle inside a semicircle. A square has a perimeter of 80 cm A circle fits exactly inside the square, as shown in the diagram. A B C D (Total for question 9 is 5 marks) 10 The diagram shows a shaded ring formed by cutting a smaller circle out of a larger circle. 62 Page 4 of 8 MathsDlY.com Work out the total area of the shaded regions. the cross product A × B. OA = OB = 6 cm. Write your answer in terms of π. Q6. Give your answer correct to 3 significant figures. The arc ABC is a quarter of a circle with centre O and radius 4.8 cm. The square has a side of length 12 cm. The answer is 18 . Each side of the square is a tangent to the large circle and four of the small circles. 10. A second fold is made, parallel to the first, so that the apex of this triangle folds onto a point on its base, … The diagram shows a sector OAPB of a circle, centre O. AB is a chord of the circle. 12 The diagram shows a circle drawn inside a square. Write two numbers that multiply to the value on top and add to the value on bottom.6+-1​. The diagram shows 12 small circles of radius 1 and a large circle, inside a square. The diameter of the larger circle is 15 cm. We know the diameter of the circle is 10cm as one edge of the circle to the other edge is equal in length as one edge of the square (as seen from the diagram). A frustum is made by removing a small … Give your answer correct to 1 decimal place. The diagram shows a square ABCD inside a circle. Take π (Pi) to have a value of 3. The radius is equal to 1/2 * diameter therefore the radius here is 5cm and the area of the circle is 5cm * 5cm * π = 25π cm 2 . (Total for question 10 is 3 marks) The following diagram shows a circle with centre and radius cm. The rectangle has dimensions 16 cm by 6 cm Work out the shaded area. Work out the area of … Q5. [4] "2.0 2-0 Calculate the circumference of the circle. Work out the shaded area. Give your answer in terms of . How long is the diagonal of the rectangle? The area of sector OAPB is 5π cm2 Calculate the perimeter of the shaded segment. Calculate the total area of the shaded parts of the square. Diagram NOT accurately drawn 2.1 cm Work out the shaded area. Leave blank oq 3H (2) (b) The diagram shows a circle with radius 2.1 cm inside a square. 14 *P40673A01428* 13 Talil is going to make some concrete mix. Diagram NOT accurately drawn 7.2cm Diagram NOT accurately drawn . Diagram NOT accurately drawn o 4 … Calculate the length of the diagonal of a square with sides of length 6 cm. The framework is made from 5 metal rods. Since the diagram is a square and squares have equal sides, you set the the equations equal to each other because they'd have the same measurement. Each small circle touches two other circles. A=pi*r^2. Give your answer in terms of .....cm2 (Total for Question 12 is 3 marks) 6cm 12 cm Diagram NOT accurately drawn. The circle has a radius of 6 cm. The diagram shows a wooden frame that is to be part of the roof of a house: (a) Use … The square has a side of length 12 cm. —㬠ô ™­‘O=ÉHÌuB¶A­Dj6¼™PmŠ€ `LM䖟{ÉÙ1-p †Ö€¨ÑÙj¤S4.®V€wôµnóñ»í}}¤1`A³â²ž©ÇŸ`ê÷Ÿv‡¯&Ãù‹ÏE®´×™ð¼ŠoÇK!5O›œ1–àøK…º)BrR¢¿jÅ*]°Ö"@ îšt¶ÌEg7ñrmÀڄ¶à͑švÔ¯fҔ^1iÔP` ô€ŠØâÑÂs¤$±¬æÞUèæuAœ|EˆÞ´›üß@âÙ¢,@ж'ß. Give your answer correct to 3 significant figures. The diagram shows a quarter circle inside a square. Work out the shaded area. The diagram shows a rectangle inside a semicircle. The diagram shows a prism. The area of the region shaded black (inside the square but outside the circle) is X and the area of the region shaded grey (inside the circle but outside the square) is Y. dKPøĶ¥°™³éÊã˜Þ”S´çnÊÕßV ´§Z+PÊpځÂT´‚+¹u0’ª‡Ž»ìPU'ԄâØ"pjŽ¹Hð~+7BÝ|M Diagram NOT accurately drawn 2.5 cm 7.6 cm 13.8 cm Work out the area of the shaded region. Give your answer in terms of . The diagram shows a circle drawn inside a square. Find the area of the shaded ring. The diagram shows a pattern of eight equal shaded squares inside a circle of area π square units. Paul is going to make some concrete mix. The square has a side of length 12 cm. 4. A square, of side two units, is folded in half to form a triangle. The circle touches two sides of the square and passes through one corner of the square. Markscheme correct substitution (A1) eg = (cm) A1 N2 [2 marks] O 3 AO^C=1.3 radians ABC l=1.3×3 l3.9 6b. Give your answer correct to 3 significant figures. S-7uc....C 14. 9 The diagram shows a circle inside a rectangle. Give your answer in terms of . The radius of the smaller circle is 6 cm. Work out the area of the shaded segment. AC is a chord of the circle. Subtract 4x from each side. ..... cm (Total for question = 6 marks) Mark Scheme Q1. Diagram NOT accurately drawn 30 cm2 25 cm The area of the cross section of the prism is 30 cm2. Diagram NOT accurately drawn 6 cm 12 cm The circle has a radius of 6 cm. Shaded area .....cm2 (total 4 marks) 6 cm . 6 cm 6 cm Diagram NOT accurately drawn cm 6 cm The points A, B, C and D lie on the circle. Work out the total area of the shaded regions. [4] www.justmaths.co.uk Circles, Arcs & Sectors (H) - Version 2 January 2016 13. The diagram shows a rectangle inside a semicircle. The diagram shows a quarter-circle with radius 6.5 cm Work out the area of the quarter-circle. crn2 (Total for Question 9 is 3 marks) You must show your working. Give your answer in terms of π. Q5. 9 The diagram shows a rectangular framework. Step-by-step explanation: Because the diameter is 16cm half that is the radius which is 8. [4] www.justmaths.co.uk Version 1 December 2015 CREDITS AND NOTES Question Awarding Body Question Awarding Body 1 WJEC Eduqas 8 OCR 2 OCR 9 … The area of the rectangle is 16 x 6 = 96 cm2. ï×Ãd¹ÈÐÌcAó&¢‡Cáê҅«188¢-„ØËNé­¾‚Ò;¾– ¨ch ŠrîK£IB(¸i JYòÐV 0
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