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Find Areas of Circles Using Their Diameters

In this worksheet, students work out the areas of circles given their diameters.

'Find Areas of Circles Using Their Diameters' worksheet

Key stage:  KS 3

Curriculum topic:  Geometry and Measures

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

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

This worksheet is about finding the areas of circles, given their diameters.

 

You must learn this important formula for a circle of radius, r :

Area of a circle = π r2

 

Remember that the radius is HALF the diameter.

 

Example

Find the area of a circle of diameter 12 cm.

 

Answer

First work out the radius, which will be 12 ÷ 2 = 6 cm

Area = π r2 =  π x 62 = π x 36 = 113.1 cm2  (1 dp)

Find the area of a circle of diameter 20cm in cm2.

(Just write the number to 1 decimal place)

Find the area of a circle of diameter 2cm in cm2.

(Just write the number to 1 decimal place)

 

 

Find the area of a circle of diameter 10cm in cm2.

(Just write the number to 1 decimal place)

 

 

Find the area of a circle of diameter 6cm in cm2.

(Just write the number to 1 decimal place)

 

Find the area of a circle of diameter 16cm in cm2.

(Just write the number to 1 decimal place)

 

 

Find the area of a circle of diameter 25cm in cm2.

(Just write the number to 1 decimal place)

 

 

Find the area of a circle of diamter 5.8cm in cm2.

(Just write the number to 1 decimal place)

 

Find the area of a circle of diameter 22.4cm in cm2.

(Just write the number to 1 decimal place)

 

Find the area of a circle of diameter 0.5cm in cm2.

(Just write the number to 1 decimal place)

 

Find the area of a circle of diameter 6.9cm in cm2.

(Just write the number to 1 decimal place)

 

  • Question 1

Find the area of a circle of diameter 20cm in cm2.

(Just write the number to 1 decimal place)

CORRECT ANSWER
314.2
EDDIE SAYS
The diamater is 20 so the radius is 10 A = π x 102
  • Question 2

Find the area of a circle of diameter 2cm in cm2.

(Just write the number to 1 decimal place)

 

 

CORRECT ANSWER
3.1
EDDIE SAYS
The diamater is 2 so the radius is 1 A = π x 12
  • Question 3

Find the area of a circle of diameter 10cm in cm2.

(Just write the number to 1 decimal place)

 

 

CORRECT ANSWER
78.5
EDDIE SAYS
The diamater is 10 so the radius is 5 A = π x 52
  • Question 4

Find the area of a circle of diameter 6cm in cm2.

(Just write the number to 1 decimal place)

 

CORRECT ANSWER
28.3
EDDIE SAYS
The diamater is 6 so the radius is 3 A = π x 32
  • Question 5

Find the area of a circle of diameter 16cm in cm2.

(Just write the number to 1 decimal place)

 

 

CORRECT ANSWER
201.1
EDDIE SAYS
The diamater is 16 so the radius is 8 A = π x 82
  • Question 6

Find the area of a circle of diameter 25cm in cm2.

(Just write the number to 1 decimal place)

 

 

CORRECT ANSWER
490.9
EDDIE SAYS
The diamater is 25 so the radius is 12.5 A = π x 12.52
  • Question 7

Find the area of a circle of diamter 5.8cm in cm2.

(Just write the number to 1 decimal place)

 

CORRECT ANSWER
26.4
EDDIE SAYS
The diamater is 5.8 so the radius is 2.9 A = π x 2.92
  • Question 8

Find the area of a circle of diameter 22.4cm in cm2.

(Just write the number to 1 decimal place)

 

CORRECT ANSWER
394.1
EDDIE SAYS
The diamater is 22.4 so the radius is 11.2 A = π x 11.22
  • Question 9

Find the area of a circle of diameter 0.5cm in cm2.

(Just write the number to 1 decimal place)

 

CORRECT ANSWER
0.2
EDDIE SAYS
The diamater is 0.5 so the radius is 0.25 A = π x 0.252
  • Question 10

Find the area of a circle of diameter 6.9cm in cm2.

(Just write the number to 1 decimal place)

 

CORRECT ANSWER
37.4
EDDIE SAYS
The diamater is 6.9 so the radius is 3.45 A = π x 3.452
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