Circle Calculator
Calculate a circle's area, circumference, diameter and radius from any one known value. Free and instant — results update as you type, entirely in your browser.
Any unit works: enter the radius in cm and you get the circumference in cm and the area in cm². π is used at full double precision (3.141592653589793…).
How to use the circle calculator
- Pick what you know. Choose radius, diameter, circumference or area from the dropdown — any single value is enough to define the whole circle.
- Type the value. Enter the number in any unit; decimals are fine. The other three properties are calculated instantly as you type.
- Copy the results. Read the radius, diameter, circumference and area, check the formulas with your numbers substituted in, and copy everything with one click.
About this tool
A circle is completely determined by a single measurement, so this circle calculator can start from whichever one you have: the radius, the diameter (d = 2r), the circumference (C = 2πr) or the area (A = πr²). Enter any of the four and it solves for the other three, showing the exact formula used with your numbers substituted in — perfect for checking geometry homework or learning how the equations rearrange (for example r = C / 2π, or r = √(A / π)).
Beyond the classroom, it answers practical questions in seconds: how much edging you need around a round flower bed, the area of a circular pizza or table top, the circumference of a wheel to work out distance per revolution, or the diameter of a pipe from its measured girth. All math runs locally in your browser with full double-precision π — nothing is uploaded, stored or logged, and it works offline once the page has loaded.
Frequently asked questions
What are the circle formulas used?
Diameter d = 2r, circumference C = 2πr (equivalently πd), and area A = πr². Working backwards: r = d / 2, r = C / (2π), and r = √(A / π). The calculator applies whichever rearrangement matches the value you entered.
How do I get the area from the circumference?
First find the radius: r = C / (2π). Then apply the area formula: A = πr². A shortcut that combines both is A = C² / (4π). Select “Circumference” in the tool and both steps are shown with your numbers.
What value of π does the calculator use?
It uses JavaScript's built-in double-precision value, 3.141592653589793 — accurate to about 16 significant digits. That is far more precise than the 3.14 or 22/7 approximations used in hand calculations.
What units should I enter?
Any unit you like. Lengths (radius, diameter, circumference) all share the unit you enter, and the area comes out in that unit squared — enter meters and the area is in m². Just don't mix units within one calculation.