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Area of Shaded Circular Rings

In this worksheet, students must calculate the area of shaded circular rings.

'Area of Shaded Circular Rings' worksheet

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   2D Shapes: Circles, Angles and Bearings

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

The formula for the area, A, of a circle in terms of its radius, r, is given by:

A = πr2

 

To work out the shaded area shown below, we must work out the area of the outer circle and subtract the area of the inner circle.

 

Example

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

 

 

Answer

Area of outer circle = π x 92 = 81π

Area of inner circle = π x 82 = 64π

Shaded area = 81π - 64π = 17π = 53.4 cm2 (3 s.f.)

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