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;

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

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

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.

Perimeter of a Circle Online Quiz

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 perimeter of a circle.

 

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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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