Circle Calculator

GEOMETRY
r
Area
Radius
Diameter
Circumference

Every circle measure from any one

A circle is fixed entirely by its radius — give any single measurement and the rest follow. Tell this calculator whether you know the radius, diameter, circumference, or area, enter the value, and it returns all four at once.

The formulas

With radius r: diameter = 2r, circumference = 2 pi r, and area = pi r squared. Working backward, radius = diameter / 2, or circumference / (2 pi), or the square root of (area / pi). The constant pi is about 3.14159.

Radius is the key

Whatever you start from, the tool first recovers the radius, then builds the other three from it. That is why a single number is enough to pin down the whole circle.

Related geometry tools

For the 3D version, use the sphere calculator; for a circle extruded into a tube, the cylinder calculator.

Worked example

A radius of 5 gives a diameter of 10, a circumference of about 31.42, and an area of about 78.54 — since area is pi times 25.

FAQ

Why does area grow so fast?

Area depends on the radius squared, so doubling the radius quadruples the area. Circumference, by contrast, only doubles.

What units does it use?

Whatever unit you enter — the outputs share it, with area in those units squared. The math is unit-agnostic.

Related reference chart: Circle Formula Chart
Spotted an error or have a suggestion for this calculator? Let us know →
Related formula: Area of a Circle Formula
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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.