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Solve Problems Using the Circumference and Area of a Circle

In this worksheet, students will solve problems involving the circumference and area of circles.

'Solve Problems Using the Circumference and Area of a Circle ' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Solve Problems Involving Perimeters and Areas of 2D Shapes

Difficulty level:  

Worksheet Overview

In this activity, we will solve problems using the circumference and area of circles.

 

You will need a calculator for this!

 

Recap the formulae we need:

 

Circumference of a circle = 2 x π Radius

in short we write

C = 2 π r

 

Area of a circle = π x Radius x Radius

in short we write

A= π r2

 

We are going to answer some mixed questions using these formulae.

 

Example

A circular, gold-coloured badge has a radius of 10 mm.

What area of metal is needed to make this badge?

Answer rounded to 1 decimal place.

 

circle

 

Answer

π is usually taken to be 3.142, but your calculator should have the π button on it which will make your calculations more accurate. 

Area = π r2

A =  π x 102

A =  π x 100 

A =  314.2 mm2  (1 dp)

 

Let's do some questions now!

 

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