Circle Calculator

Enter the radius to find a circle's diameter, circumference and area.

Reviewed by the WorldCalcs team · Methodology · Last reviewed: June 2026

Diameter

10

d = 2r

Circumference

31.4159

C = 2πr

Area

78.5398

A = πr²

What is a circle?

A circle is the set of all points the same distance from a centre point. That distance is the radius, and twice the radius — straight across through the centre — is the diameter. The distance around the circle is its circumference, and the space inside it is the area. These four measures are all linked by the constant π (pi), about 3.14159.

The circle formulas

From the radius r: the diameter is d = 2r, the circumference is C = 2πr (or πd), and the area is A = πr². Pi (π) is the ratio of any circle's circumference to its diameter, and it is the same for every circle.

Example

For a circle with radius 5, the diameter is 2 × 5 = 10, the circumference is 2 × π × 5 ≈ 31.4159, and the area is π × 5² ≈ 78.5398.

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Results are estimates and may contain errors — for general information only, not professional advice. Always verify before relying on them. Disclaimer

How to use

Type a positive radius. The calculator returns the diameter (2r), circumference (2πr) and area (πr²) instantly.

Values are rounded to about 6 significant digits using the standard constant π ≈ 3.14159.

Frequently asked questions

What is the formula for the area of a circle?+

The area is A = πr², pi times the radius squared. For a radius of 5, the area is π × 25 ≈ 78.54.

How do you find the circumference?+

The circumference is C = 2πr, or equivalently π times the diameter. For a radius of 5 it is 2 × π × 5 ≈ 31.42.

What is the difference between radius and diameter?+

The radius is the distance from the centre to the edge; the diameter goes all the way across through the centre and is twice the radius.

What is pi?+

Pi (π ≈ 3.14159) is the ratio of a circle's circumference to its diameter. It is the same constant for every circle, no matter its size.

How do you find the radius from the area?+

Divide the area by π and take the square root: r = √(A ÷ π). This reverses the area formula.