Circle Calculator

Quick answer

The circle calculator returns the area, diameter and circumference of a circle from its radius, using A = πr² and C = 2πr. You can also type a known area to work backwards to the radius, with free choice of length and area units.

Area
—
Diameter
—
Circumference
—

Every measurement of a circle follows from its radius. Knowing any one value lets you find all the others.

How to use it

Enter the radius. If you know the diameter, halve it first. If you know the area, type it into the result and the radius is solved.

Everyday uses

Size a round table cloth, compare pizza sizes (a 16-inch pizza has about 1.8 times the area of a 12-inch one), or work out how much seed covers a circular lawn.

What each result means

  • Area = pi × [Radius]^2
  • Diameter = 2×[Radius]
  • Circumference = 2×pi×[Radius]

Formula

A = π r²C = 2 π rd = 2 r

Worked example

Radius 5 m.
Area = π × 5² ≈ 78.54 m². Circumference = 2π × 5 ≈ 31.42 m. Diameter = 10 m.

Key terms

Radius
Distance from the centre to the edge.
Diameter
Distance across the circle through the centre.
Pi (π)
The ratio of circumference to diameter, about 3.14159.

Frequently asked questions

How do I get radius from circumference?

r = C ÷ 2π.

Why does area grow faster than diameter?

Area depends on the square of the radius, so doubling the diameter quadruples the area.

Can I use different units?

Yes, choose length and area units independently.

What formula does the Circle Calculator use?

A = π r².

Can I work backwards from the result?

Yes. Type the result you want into Area and the calculator finds the matching radius.

Sources

  1. Wolfram MathWorld – Circle

Cite this calculator

Speedy Calculator. (2026). Circle Calculator. Speedy Calculator. https://speedycalculator.com/calculators/math/circle/