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

2. 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

3. 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

4. Practice 1: Circumference1. 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

5. 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

6. 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= m m 2
A = /2 = cm 2
Picture NOT accurately drawn
Work out how far the roller moves. Give your answer correct to 3 significant figures.
16 x = m
Lesson

7. 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

8. 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

9. 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 cm 3
Volume = =503 cm 3
Lesson

10. 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 = =754 cm 3
Surface Area = = 19400 cm 2
Lesson