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Find Areas of Circles Using Their Radiuses

In this worksheet, students find the areas of circles given their radiuses.

'Find Areas of Circles Using Their Radiuses' worksheet

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

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

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

This worksheet is about finding the areas of circles.

 

 

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

Area of a circle = π r2

 

What is pi (π) in numbers?  Pi is an infinite number, and you can use a function on your calculator to input the number.

Here is the start of it - 3.14159265359...

 

In this activity, you will need to use a scientific calculator to calculate the answers.  You can use one online if you do not have one in your home.

 

Example

Find the area of a circle of radius 6 cm.

 

Answer

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

 

Remember, in this activity, you need to use a scientific calculator to calculate pi correctly, you can access one of these online.

 

Find the area of a circle with a radius of 10 cm in cm2.

 

Write the number to 1 decimal place.

Find the area of a circle with a radius of 2 cm in cm2.

 

Just write the number to 1 decimal place.

Find the area of a circle with a radius of 5 cm in cm2.

 

Write the number to 1 decimal place.

Find the area of a circle with a radius of 6 cm in cm2.

 

Write the number to 1 decimal place.

Find the area of a circle with a radius of 16 cm in cm2.

 

Write your answer to 1 decimal place.

Find the area of a circle with a radius of 25 cm in cm2.

 

Write your answer to 1 decimal place.

Find the area of a circle with a radius of 5.8 cm in cm2.

 

Write your answer to 1 decimal place.

Find the area of a circle with a radius of 12.4 cm in cm2.

 

Write your answer to 1 decimal place.

Find the area of a circle with a radius of 0.5 cm in cm2.

 

Write your answer to 1 decimal place.

Find the area of a circle with a radius of 3.99 cm in cm2.

 

Write your answer to 1 decimal place.

  • Question 1

Find the area of a circle with a radius of 10 cm in cm2.

 

Write the number to 1 decimal place.

CORRECT ANSWER
EDDIE SAYS
Did you read the question carefully? Did you remember to give your answer to one decimal place? If you didn't do this, you may have been marked as incorrect. If you were, make sure you remember for the next questions.

Area = π x r2

Area = π x 102

  • Question 2

Find the area of a circle with a radius of 2 cm in cm2.

 

Just write the number to 1 decimal place.

CORRECT ANSWER
EDDIE SAYS
Another reminder to read the question carefully? Remember to give your answer to one decimal place. If you didn't do this, you may have been marked as incorrect. If you were, make sure you remember for the next questions.

Area = π x r2

Area = π x 22

  • Question 3

Find the area of a circle with a radius of 5 cm in cm2.

 

Write the number to 1 decimal place.

CORRECT ANSWER
EDDIE SAYS
We're sure you've remembered, but just in case, you needed to give your answer to 1 decimal place. Your answer needs to be to one decimal place. Did you do it?

Area = π x r2

Area = π x 52

  • Question 4

Find the area of a circle with a radius of 6 cm in cm2.

 

Write the number to 1 decimal place.

CORRECT ANSWER
EDDIE SAYS
Did you remember to give your answer to one decimal place? If you didn't you will have been marked as incorrect, this can cost you marks in a test. Is this formula now becoming second nature? π r ²

Area = π x r2

Area = π x 62

  • Question 5

Find the area of a circle with a radius of 16 cm in cm2.

 

Write your answer to 1 decimal place.

CORRECT ANSWER
EDDIE SAYS
Did you remember to give your answer to one decimal place? If you didn't you will have been marked as incorrect, this can cost you marks in a test.

Area = π x r2

Area = π x 162

  • Question 6

Find the area of a circle with a radius of 25 cm in cm2.

 

Write your answer to 1 decimal place.

CORRECT ANSWER
EDDIE SAYS
Is this becoming easier? It's just a case of remembering the formula and committing it to memory!

Area = π x r2

Area = π x 252

  • Question 7

Find the area of a circle with a radius of 5.8 cm in cm2.

 

Write your answer to 1 decimal place.

CORRECT ANSWER
EDDIE SAYS
You know what to do now! Just keep applying that formula and reading the questions carefully, practice makes perfect!

Area = π x r2

Area = π x 5.82

  • Question 8

Find the area of a circle with a radius of 12.4 cm in cm2.

 

Write your answer to 1 decimal place.

CORRECT ANSWER
EDDIE SAYS
You'll be saying this formula in your sleep! π r ² that's all there is to it!

Area = π x r2

Area = π x 12.42

  • Question 9

Find the area of a circle with a radius of 0.5 cm in cm2.

 

Write your answer to 1 decimal place.

CORRECT ANSWER
EDDIE SAYS
We're sure we don't need to remind you of the formula now, but just in case, π r ²

Area = π x r2

Area = π x 0.52

  • Question 10

Find the area of a circle with a radius of 3.99 cm in cm2.

 

Write your answer to 1 decimal place.

CORRECT ANSWER
EDDIE SAYS
Did you get this last one right?

Area = π x r2

Area = π x 3.992

Well done for completing another activity, hopefully you are feeling much more confident now with calculating the area of a circle! Keep up the great work!
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