# Compound area problems

## Lesson details

### Key learning points

1. In this lesson, we will learn how to calculate the area of compound shapes involving circles.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

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## Worksheet

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## Starter quiz

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### 5 Questions

Q1.
If the circumference of a circle is 12pi, what is the area?
144pi
36pi
6pi
Q2.
What is the area of this sector?
100pi
25pi
5pi
Q3.
What is the area of this sector to 1 decimal place?
113.1
28.3
Q4.
What is the area of this sector to 1 decimal place?
324.2
7.1
81.1
Q5.
What is the area of this sector to 1 decimal place?
24.1
48.2
530.1

## Exit quiz

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### 5 Questions

Q1.
What calculation would work out the shaded area?
100 - 10pi
100 - 20pi
100 - 5pi
Q2.
What calculation would work out the shaded area?
12pi - 10pi
6pi - 5pi
Q3.
What calculation would work out the total area?
16 + 16pi
16 + 8pi
Correct answer: 32 + 16 pi
32 + 8pi
Q4.
What is the total area?
12pi + 13
12pi + 49
4pi + 20
Q5.
A square of perimeter 80cm is attached to a semi-circle, they fit together with no overlap. What is the total area?
200 + 20pi