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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:

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

Want to test yourself to see how well you have understood this skill?.

- Try our NEW quick quiz at the bottom of this page.

Quicklinks to ...

- Area is a measure of the amount of space inside a shape.
- It is measured in squares, so it can be square inches (in
^{2}), square cm (cm^{2}), square feet(ft^{2}), etc.

The formula for the area of a circle is: A = πr^{2}, where r is the radius of the 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 r
^{2}, 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...

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: 2.5^{2} = 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 r^{2} = 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 cm^{2} 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: 3.5^{2} = 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 r^{2} = 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 in^{2} 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 12^{2} = 12 x 12 = 144.

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

So the area of this circle is π x r^{2} = π x 144 m.

This gives us an area of π x 144 = 452 square m or 452 m^{2} to the nearest whole number.

Our Area of a Circle Calculator will find the area of any circle, if you type in a radius or diameter.

It will take whole numbers, fractions or decimal values.

The best thing about it is that it shows the working out, step-by-step.

We have split the worksheets into 2 different sections:

- This section contains straightforward area of circle questions;
- Each worksheet comes with two versions: version A is in standard units, version B is in metric units.

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.

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill at finding the area of a circle here.

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How to Print or Save these sheets 🖶

Need help with printing or saving?

Follow these 3 steps to get your worksheets printed perfectly!

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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.

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