--- title: Finding Circumference of a Circle When Given the Area --- ## Background information ##### What is circumference? The length of enclosing boundary of a curved geometric figure.
Example, Question) Find circumference of a circle with area = π3? Answer: By above steps, area = π × r2 π3 = π × π2 by comparing, we get, radius, r = π Now put this value in formulae for circumference, cirucumference = 2 × π r = 2 × π π = 2 π2 Hence, we found the answer.### Area (A) of a Circle A = π * radius2 ### Circumference (C) of a Circle C = 2 * π * radius ## To find the Circumference of a Circle given the area 1. Solve for the radius of the circle radius = (A / π)½ 2. Input the radius into the formula for the circumference and solve. C = 2 * π * (A / π)½ #### More Information: [Area of a Circle](https://guide.freecodecamp.org/mathematics/area-of-a-circle) ### Here are some cool illustrations #### Circumference ![Circle](https://www.mathplanet.com/Oldsite/media/55567/circle01.png) #### Area ![Area of circle](http://www.mathwarehouse.com/animated-gifs/images/area-of-circle-through-triangles-area-demo_xl.gif)