# Circle Calculator

## Circle Shape

r = radius

C = circumference

A = area

π = pi = 3.1415926535898

√ = square root

## Calculator Use

Use this calculator to find the area, circumference or radius of a circle. Given any one variable of a circle you can calculate the other 2 unknowns.

* **Units:** Note that units of length are shown for convenience. They do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft^{2} or ft^{3}. Any other base unit can be substituted.

## Circle Formulas in terms of Pi π, radius r, and diameter d

## Radius and Diameter:

r = d/2

## Area of a circle:

A = πr

^{2}= πd^{2}/4## Circumference of a circle:

C = 2πr = πd

## Circle Calculations:

Using the formulas above and additional formulas you can calculate properties of a given circle for any given variable.

**Calculate A and C | Given r**

Given the radius of a circle calculate the area and circumference

- A = πr
^{2} - C = 2πr

- A = πr
**Calculate r and C | Given A**

Given the area of a circle calculate the radius and circumference

- r = √(A / π)
- C = 2πr

**Calculate A and r | Given C**

Given the circumference of a circle calculate the radius and area

- r = C / 2π
- A = πr
^{2}

**Cite this content, page or calculator as:**

Furey, Edward "Circle Calculator"; from *http://www.calculatorsoup.com* - Online Calculator Resource.