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iGCSE (2021 Edition)

12.12 Circular compound shapes

Worksheet
Perimeter of compound shapes
1

For each of the following compound shapes:

i

State the basic shapes that make up the compound shape.

ii

Find the perimeter.

a
b
c
d
e
2

Find the perimeter of the following compound shapes, to two decimal places:

a
b
Area of compound shapes
3

Find the shaded area in the following figures, correct to one decimal place:

a
b
c
d
e
f
4

Find the exact shaded area of the following figures:

a
b
c
d
e
f
5

For the compound shape shown:

a

State the basic shapes that make up the compound shape.

b

Find the exact area.

Applications
6

Tricia is drawing a yin-yang symbol. She chooses to make the radius of the overall circle be 16 \,\text{cm} and the radius of the small circles be 2 \,\text{cm}:

Find the area of the shaded part of the symbol.

Round your answer to two decimal places.

7

The back cover of a mobile phone is shown in the following diagram. The rounded corners are quadrants:

Find the area of the back cover, excluding the circular camera lens. Round your answer to two decimal places.

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Outcomes

0580C5.3B

Solve simple problems involving the arc length and sector area as fractions of the circumference and area of a circle.

0580C5.5

Carry out calculations involving the areas and volumes of compound shapes.

0580E5.3B

Solve simple problems involving the arc length and sector area as fractions of the circumference and area of a circle.

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