Circle Calculator

Free circle calculator: find the area, circumference, or diameter of a circle from its radius. Enter the radius and choose what to calculate.

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API docs
Enter a radius.

How circle calculator works

A circle is defined by its radius, the distance from the center to any point on the edge. From the radius, you can calculate three key properties: the area (the space inside), the circumference (the perimeter), and the diameter (the width across the center).

The formulas are: area = pi times radius squared, circumference = 2 times pi times radius, and diameter = 2 times radius. Pi is approximately 3.14159. This calculator applies these formulas using the full precision of JavaScript Math.PI.

Enter the radius and select what to calculate. Results are rounded to six decimal places. This is useful for geometry homework, engineering calculations, and any task involving circular shapes.

Frequently asked questions

How do I calculate the area of a circle?
The area equals pi times the radius squared (A = pi * r^2). For a circle with radius 5, the area is pi * 25 = 78.54. The calculator does this automatically.
How do I calculate circumference?
The circumference equals 2 times pi times the radius (C = 2 * pi * r). For radius 5, the circumference is about 31.42.
What is the relationship between radius and diameter?
The diameter is twice the radius (d = 2r). The radius is half the diameter. All circle formulas can use either measurement.
What is pi?
Pi is the ratio of a circle circumference to its diameter, approximately 3.14159. It is an irrational number, meaning its decimal digits never repeat. The calculator uses full-precision pi.