Perimeter of a Circle

Welcome to our Perimeter of a Circle page.

Here you will find a range of free printable perimeter sheets and support, which will help your child to learn to work out the perimeter (or circumference) of a circle.

Perimeter of a Circle

On this webpage you will find our range of worksheets to help your child learn to work out the perimeter 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 perimeter is;
  • know how to find the perimeter (circumference) of a circle;
  • solve word problems involving perimeter of circles;

What is Perimeter?

  • Perimeter is the distance around the outside of a shape.
  • It can be measured in cm, inches, feet, yards, km, miles, etc.

A good way of thinking about the perimeter of a shape in front of you is to imagine that you are very small and standing on one of the corners of the shape. Imagine walking along the sides of the shape until you get back to where you started. The distance you have walked will be the perimeter.

perimeter image 2

For more help with perimeter please use: this link.

How to find the Perimeter of a Circle

The perimeter of a circle is called the circumference.

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

  • find the diameter of the circle (the distance from one side to the other in a straight line through the middle)
  • multiple the diameter by pi (or π)
  • the formula for the circumference of a circle is C = π d, where C is the circumference and d is the diameter.

Pi 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...

Perimeter of a Circle Example 1

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

circle circumference example 1

To find the circumference of a circle, we need to multiply the diameter by pi (π)

So the circumference of this circle is π d = π x 5 or 5 π cm

If we take π = 3.14, the answer is 5 x 3.14 = 15.7 cm.

Perimeter of a Circle Example 2

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

circle circumference example 2

To find the circumference of a circle, we need to multiply the diameter by pi (π)

So the circumference of this circle is π d = π x 7 or 7 π inches.

If we calculate this to the nearest cm, the answer is 22 inches.

Perimeter of a Circle Example 3

Find the circumference of the circle below and give your answer to 1 decimal place.

circle circumference example 3

To find the circumference of a circle, we need to multiply the diameter by pi (π)

The radius of the circle is 12m, so the diameter is double this which is 24 m.

So the circumference of this circle is π d = π x 24 or 24 π

If we calculate this to 1 decimal place, the answer is 75.4 m.

Perimeter of a Circle Worksheet Area

Circumference of a Circle Worksheets

Perimeter of a Circle Word Problems

More Recommended Math Worksheets

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

More Circle Worksheets and Support

Take a look at our other circle worksheets.

More Perimeter Support and Resources

We have more perimeter resources and worksheets.

Check out the pages below!

Area Worksheets

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

Using these sheets will help your child to:

  • work out the areas of a range of rectangles;
  • find the area of rectilinear shapes;
  • find the areas of a right triangle and different quadrilaterals.
 

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How to Print or Save these sheets

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Follow these 3 easy steps to get your worksheets printed out perfectly!

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