Circle Calculator

Circle Calculator

Find the radius, diameter, circumference, and area of a circle from any one valid measurement.

Last updated: June 2026 | By Patchworkr Team

Enter a real number.

One valid measurement determines the full circle. The formulas are reversible, so the result panel updates as soon as the input is valid.
Circle Results
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Enter a value to calculate
Diameter
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Circumference
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Area
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Formulas

From Radius
d = 2r, C = 2πr, A = πr²
From Diameter
r = d/2, C = πd, A = π(d/2)²
From Circumference
r = C/(2π)
From Area
r = √(A/π)

How to Use

Choose the measurement you already know, enter a positive real number, and the calculator derives the rest of the circle values.

  1. Select radius, diameter, circumference, or area.
  2. Enter a positive value in the matching input.
  3. Read the result card for all derived circle measurements.

Example

With radius 5, the calculator returns diameter 10, circumference 31.415927, and area 78.539816.

That matches the formulas exactly: d = 2r, C = 2πr, and A = πr².

Notes

The calculator rejects zero, blank, malformed, and non-finite inputs so it cannot silently coerce bad values into a circle.

Negative lengths are not accepted because radius, diameter, circumference, and area are all non-negative geometric quantities.

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