Circle Radius From Area Calculator
Enter a circle area to instantly find its radius, diameter, and circumference, shown with a clear diagram.
Input
Enter a circle area to work back to its radius, diameter, and circumference.
Result
Radius r
3.989423
Diameter d
7.978846
Circumference C
25.066283
The length unit matches the square root of the area unit you entered.
How it works
- The area S and radius r of a circle are related by S equals pi times r squared, where pi is about 3.14159.
- Solving for the radius gives r equals the square root of S divided by pi, so you can find the radius from the area.
- The diameter is twice the radius (d equals 2r) and the circumference is C equals 2 pi r.
- Enter a positive number for the area. Values of zero or below, or non numeric input, return an error.
- The length unit matches the square root of the area unit. If the area is in square centimeters, the radius is in centimeters.
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Circle Radius From Area Calculator