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.
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:
Quicklinks to ...
To find the area of a circle, follow these simple steps:
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...
Find the area of the circle below to 1 decimal place.
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.
Find the area of the circle below to the nearest inch.
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.
Find the area of the circle below and give your answer to the nearest whole number.
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.
We have split the worksheets into 2 different sections:
Sheets 1A and 1B contain circles with the radius marked.
Sheets 2A and 2B contain circles with the diameter marked.
Sheets 3A and 3B contain a mixture of circles with either the diameter or the radius marked.
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.
Take a look at some more of our worksheets similar to these.
We have a range of other area worksheets and support pages for a range of different 2d shapes.
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
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
Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!
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.
Looking for some fun printable math games?
We have some great games for you to play in our Math Games e-books!
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!
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!
Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child
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!
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!
New! Comments
Have your say about the Math resources on this page! Leave me a comment in the box below.