Calcamaze

Area of a Circle Calculator

Find the area of a circle from its radius — or the radius from the area.

Solve for any value — pick what to calculate in the first field

Result

Area
78.5398
Diameter
10
Circumference
31.4159

The area of a circle is π times the radius squared. Enter the radius to get the area, or switch to “Radius” to work backwards from a known area. Diameter and circumference are shown too. Use any unit — the area comes out in that unit squared.

Formula

A = π × r ^ 2

Where A is the area, r is the radius.

Choose any value to calculate — the calculator rearranges the formula for you.

Worked example

A circle with a radius of 5 cm has an area of π × 5² ≈ 78.54 cm², a diameter of 10 cm and a circumference of about 31.42 cm.

Frequently asked questions

How do I find the area of a circle from the diameter?

Halve the diameter to get the radius, then use A = π × r². A 10 cm diameter gives r = 5 cm and A ≈ 78.54 cm².

How do I find the radius from the area?

r = √(A ÷ π). Choose “Radius” under Calculate and enter the area.

Last updated · Calculations checked by automated tests· Editorial policy