Area Calculator › Area of a Circle

Area of a Circle Calculator

Find the area of a circle from its radius. The tool also gives the circumference, the distance around the edge.

Area of a circle
Result
Area78.54 units²
Circumference31.42 units
Quick answer
The area of a circle is π times the radius squared, written π r². With a radius of 5, that is π × 25 ≈ 78.54 square units. If you know the diameter instead, halve it to get the radius first, so a 10-unit diameter is a radius of 5.

How it works

r
Area = π × radius²circumference = 2 × π × radius · π ≈ 3.14159
radius
from the centre to the edge
π
pi, about 3.14159
Area
the space inside, in square units

Use the radius, not the diameter. The diameter is the full width across the centre, so it is twice the radius.

Frequently asked questions

What is the area of a circle with radius 5?

About 78.54 square units, from π × 5².

How do I find the area from the diameter?

Halve the diameter to get the radius, then use π × radius². A 10-unit diameter gives an area of about 78.54.

What is the formula for the area of a circle?

Area equals pi times the radius squared, π r².

What is the area of a 12-inch circle?

If 12 inches is the diameter, the radius is 6 and the area is about 113.1 square inches.