Area of a Circle Support Page

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.

• 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.

The formula for the area of a circle is: A = πr², where r is the radius of the circle.

Area of a Circle Example 1

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.

Area of a Circle Example 2

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.

Area of a Circle Example 3

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.

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.

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.

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.