Circle Area Calculator

Circle Area Calculator

Calculate the area, circumference, and diameter of a circle from its radius.

Last updated: June 2026 | By Patchworkr Team

Circle Properties Solver

Live results update as you type

Radius needs a real number.

The circle formulas use the radius directly. Diameter is derived as 2r, and the area formula uses pi * r^2.
Results
Enter a radius to calculate the circle.

What Is a Circle?

A circle is the set of all points that are the same distance from a fixed center point.

The radius is that distance. From it, we can derive the diameter, circumference, and area.

This calculator keeps the formulas tied to the radius so the outputs stay mathematically consistent.

Circle Formulas

Area
A = pi * r^2
Circumference
C = 2 * pi * r
Diameter
d = 2r

How to Calculate Circle Properties

  1. Enter the radius.
  2. Read the area, circumference, and diameter from the result card.
  3. Use the formula cards to verify each value independently.
  4. Check that the units are consistent across the problem.

Worked Example

For a radius of 5, the area is pi * 25, the circumference is 10pi, and the diameter is 10.

Area = 78.53981634
Circumference = 31.41592654
Diameter = 10

The area is roughly 78.54 square units, which matches the standard circle formula.

Frequently Asked Questions

Can the radius be zero?

No. A radius of zero does not describe a meaningful circle for this calculator.

Does the area always use pi?

Yes. The exact area formula is pi * r^2.

How do I get the diameter?

Multiply the radius by 2. The calculator shows it automatically.

Are the outputs live?

Yes. The result card updates as soon as the radius changes.

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