Mathematics-Monster.com(#mm)
menu

Finding the Radius from the Area

(KS3, Year 7)

The radius of a circle is found from the area of a circle using the formula: radius equals square root of area divided by pi In this formula, A is the area of the circle. The image below shows what we mean by finding the radius from the area: area and radius on a circle

How to Find the Radius from the Area

Finding the radius from the area is easy.

Question

What is the radius of the circle, with area 10 cm2, below? circle with an area of 10 cm squared

Step-by-Step:

1

Start with the formula:
Radius = √ (Aπ)
Don't forget: √ means square root, / means ÷ and π is pi (≈ 3.14)

2

Substitute the area into the formula. In our example, A = 10.

Radius = √ (10π)

Radius = √ (10 ÷ π)

Radius = √ (10 ÷ 3.14)

Radius = √ 3.18

Radius = 1.78 cm

Answer:

The radius of the circle is 1.78 cm.

Lesson Slides

The slider below shows another real example of how to find the radius of a circle from the area.

Interactive Widget

Here is an interactive widget to help you learn about finding the radius of a circle from its area.
author logo

This page was written by Stephen Clarke.

You might also like...

Help Us Improve Mathematics Monster

  • Do you disagree with something on this page?
  • Did you spot a typo?
Please tell us using this form.

Find Us Quicker!

  • When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add #mm to your search term.

Share This Page

share icon

If you like Mathematics Monster (or this page in particular), please link to it or share it with others.

If you do, please tell us. It helps us a lot!

Create a QR Code

create QR code

Use our handy widget to create a QR code for this page...or any page.