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Targeting Grade C Shape and Space Unit 3 Circles GCSE Mathematics.

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Presentation on theme: "Targeting Grade C Shape and Space Unit 3 Circles GCSE Mathematics."— Presentation transcript:

1 Targeting Grade C Shape and Space Unit 3 Circles GCSE Mathematics

2 TOP Parts of a circle Practice 1: Circumference Practice 2: Area TAIL 1 Practice 3: Surface area Practice 4: Volume TAIL 2 Can you… Name parts of a circle Calculate the circumference of a circle Calculate the area of a circle Try a test Calculate Surface area of a cylinder Calculate Volume of a cylinder Try a test If not you need

3 Lesson TOP Name the parts of the circle Remember d = 2r r = d/2 Circumference C = Лd Area A = Лr 2 y x z radius diameter circumference Are you ready for the answers ?

4 Practice 1: Circumference Lesson Work out the circumference of the circle. Give your answer, in centimetres, correct to 1dp The diameter of a 10 pence coin is 2.45 cm. Work out the circumference of the coin. Give your answer correct to 1dp 3. The radius of a circle is 6.4 cm. Work out the circumference of this circle. Give your answer correct to 1 dp

5 Practice 2: Area Lesson The radius of the circle is 9.7 cm. Work out the area of the circle. Give your answer to 3 significant figures Calculate the area of a circle with diameter 12 cm. The radius of a circle is 3.60 m. Work out the area of the circle. Give your answer correct to 3 significant figures. A circle has a radius of 6.1 cm. Work out the area of the circle.

6 Lesson 3. Jerry has a new garden roller. Part of the roller is a cylinder. The diameter of the cylinder is 0.7 m. Jerry pushes the roller along. The cylinder goes around exactly 16 times. Picture NOT accurately drawn Work out how far the roller moves. Give your answer correct to 3 significant figures. TAIL 1 1. Work out the area and the circumference of the circle. Give your answer correct to 3 significant figures. The radius of a circle is 4 m. 2. The diagram shows a semi-circle. The diameter of the semi-circle is 15 cm. Calculate the area of the semi-circle. Give your answer correct to 3 significant figures. Are you ready for the answers ? 16 x = 35.2 m A= 50.3 C= 25.1 m m 2 A = /2 = 88.4 cm 2

7 Volume = area of circle x height = Лr h 2 Remember Next Surface area of a cylinder = circumference x height + area of the 2 circles = 2Лrh +(2 Лr ) 2

8 Practice 3: Surface area Lesson Diagram NOT accurately drawn The diagram shows a solid cylinder. The cylinder has a diameter of 12 cm and a height of 18 cm. Calculate the total surface area of the cylinder. Give your answer correct to 3 significant figures. Diagram NOT accurately drawn The diagram shows a solid cylinder. The radius of the cylinder is 9.3 cm. Its height is 12.4 cm. Calculate the total surface area of the cylinder. Give your answer correct to 3 significant figures. A= 905 cm 2 Are you ready for the answers ? A =1270 cm 2

9 Practice 4: Volume Lesson 1. Diagram NOT accurately drawn The diagram shows a cylinder with a height of 10 cm and a radius of 4 cm. Calculate the volume of the cylinder. Give your answer correct to 3 significant figures. Diagram NOT accurately drawn A cylinder has a height of 24 cm and a radius of 4 cm. Work out the volume of the cylinder. Give your answer correct to 3 significant figures. 2. Are you ready for the answers ? Volume = =1206 cm 3 Volume = =503 cm 3

10 Lesson 1. TAIL 2 Diagram NOT accurately drawn The diagram shows a solid cylinder. The radius of the cylinder is 54 cm. The height of the cylinder is 10 cm. 2. A can of drink is in the shape of a cylinder. The can has a radius of 4 cm and a height of 15 cm. Calculate the volume of the cylinder. Give your answer correct to 3 significant figures. Calculate the curved surface area of the cylinder Give your answer correct to three significant figures Are you ready for the answers ? Surface Area = = cm 2 Volume = =754 cm 3


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