Area of a Circle Support Page

Welcome to our Area of a Circle page.

Here you will find a range of free printable area sheets and support, which will help your child to learn to work out the area of different circles.

Area of a Circle

On this webpage you will find our range of worksheets to help your child learn to work out the area of a range of circles.

These sheets are graded from easiest to hardest, and each sheet comes complete with answers.

Using these sheets will help your child to:

  • understand what area is;
  • know how to find the area of a circle;
  • solve word problems involving area of circles;

What is Area?

  • Area is a measure of the amount of space inside a shape.
  • It is measured in squares, so it can be square inches (in2), square cm (cm2), square feet(ft2), etc.

How to find the Area of a Circle

To find the area of a circle, follow these simple steps:

  • find the radius of the circle (the distance from one side to the center of the circle). It is the same as half of the diameter of the circle.
  • square the radius (multiply the radius by itself)
  • multiply this amount by pi (π)
  • you have now found the area of the circle.
  • the formula for the circumference of a circle is A = π x r x r or A = π r2, where A is the area and r is the radius of the circle.

Pi (written π) is a special mathematical number which is used to help calculate areas and perimeters of circles.

Pi always has the same value which is 3.141592...

Area of a Circle Examples

Area of a Circle Example 1

Find the area of the circle below to 1 decimal place.

circle circumference example 1

To find the area of the circle, we need to find the radius first.

The radius is half of the diameter, so it is half of 5 = 2.5 cm.

Next we need to square the radius: 2.52 = 2.5 x 2.5 = 6.25 cm.

Finally we need to multiply this amount by pi (π).

So the area of this circle is π x r2 = π x 6.25 cm.

If we take pi = 3.14, this gives us an area of 3.14 x 6.25 = 19.6 square cm or 19.6 cm2 to 1 decimal place.

Area of a Circle Example 2

Find the area of the circle below to the nearest inch.

circle circumference example 2

To find the area of a circle, we need to find the radius first.

The radius of the circle is half of the diamter which is half of 7 = 3.5 inches.

Next we need to square the radius: 3.52 = 3.5 x 3.5 = 12.25 cm.

Finally we need to multiply this amount by pi (π).

So the area of this circle is π x r2 = π x 12.25 cm.

If we take pi = 3.14, this gives us an area of 3.14 x 12.25 = 38.5 square inches or 38.5 in2 to 1 decimal place.

Area of a Circle Example 3

Find the area of the circle below and give your answer to the nearest whole number.

circle circumference example 3

To find the area of a circle, we need to square the radius and multiply this by pi (π)

The radius of the circle is 12m, so the square of the radius is 122 = 12 x 12 = 144.

Finally we need to multiply this amount by pi (π).

So the area of this circle is π x r2 = π x 144 m.

This gives us an area of π x 144 = 452 square m or 452 m2 to the nearest whole number.

Area of a Circle Worksheets

Area of a Circle Worksheets

Area of a Circle Word Problems

Sheets 1A and 1B contain straightforward area word problems.

Sheets 2A and 2B contain slightly harder word problems.

Sheets 3A and 3B are the hardest sheets and require multiple steps involving subtracting the areas of circles to find the areas of more complex shapes.

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

More Circle Worksheets

More Area Support and Resources

We have a range of other area worksheets and support pages for a range of different 2d shapes.

More Perimeter Worksheets

Here is our selection of free printable perimeter worksheets for 3rd and up.

Using these sheets will help your child to find the perimeter of a range of shapes including rectangles, rectilinear shapes, circles, quadrilaterals and regular shapes.

 

How to Print or Save these sheets

how to print information image printer

Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

How to Print or Save these sheets

how to print information image printer

Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

Math-Salamanders.com

Math Salamanders Main Logo

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.


New! Comments

Have your say about the Math resources on this page! Leave me a comment in the box below.
 

Math Salamanders Shop

math salamanders shop logo

Looking for some fun printable math games?

We have some great games for you to play in our Math Games e-books!

NEW Online Age Calculator

Online Age Calculator image

Do you know how old you are...in weeks? days? hours?

Are you more than a million minutes old?

Find out how old you are to the nearest second!

NEW Fraction Calculators

We have updated and improved our fraction calculators to show you how to solve your fraction problems step-by-step!

Take a look and try them out!

Adding Fractions Calculator image Subtracting Fractions Calculator image Multiply Fractions Calculator image Divide Fractions Calculator image

Some of our TOP pages!

Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child


Support Us

If you are a regular user of our site and appreciate what we do, please consider making a small donation to help us with our costs.

Get a free sample copy of our Math Salamanders Dice Games book with each donation!

FUN Math Games

Math Games Learning Games Captain Salamander

Looking for a fun and motivating way to learn and practice math skills?

Why not try one of our free printable math games with your students!