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

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Presentation transcript:

GCSE Mathematics Targeting Grade C Shape and Space Unit 3 Circles

Can you… If not you need Name parts of a circle 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 If not you need

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

Practice 1: Circumference 1. 2. The diameter of a 10 pence coin is 2.45 cm. Work out the circumference of the coin. Give your answer correct to 1dp Work out the circumference of the circle. Give your answer, in centimetres, 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 Lesson

Practice 2: Area 1. Calculate the area of a circle with diameter 12 cm. 2. The radius of the circle is 9.7 cm. Work out the area of the circle. Give your answer to 3 significant figures. 4. 3. 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. Lesson

TAIL 1 m Are you ready for the answers ? 1. 2. 3. Lesson 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. 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. A= 50.3 C= 25.1 m m 2 A = 176.714 /2 = 88.4 cm 2 Picture NOT accurately drawn Work out how far the roller moves. Give your answer correct to 3 significant figures. 16 x 2.1994 = 35.2 m Lesson

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

cm Practice 3: Surface area Are you ready for the answers ? 1. 2. 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 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. A =1270 cm 2 Lesson

Are you ready for the answers ? Practice 4: Volume Are you ready for the answers ? 1. 2. 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. Volume =1206.371579=1206 cm 3 Volume =502.6548246 =503 cm 3 Lesson

TAIL 2 Are you ready for the answers ? 1. 2. Lesson 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. 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. Calculate the curved surface area of the cylinder Give your answer correct to three significant figures Calculate the volume of the cylinder. Give your answer correct to 3 significant figures. Volume =753.3982269 =754 cm 3 Surface Area = 19401.76836 = 19400 cm 2 Lesson