The area of a circle is the amount of planar surface enclosed by its circumference, calculated as , where is the radius; given a diameter, the radius must first be found by halving it. Results may be expressed exactly using or approximated with an appropriate value of , in square units, without extending to sectors, radians, or calculus-based formulas.
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To find the area of a circle, use the formula
where is the radius. The radius is the distance from the center of the circle to its edge.
If you are given the diameter, divide it by to find the radius.
Example: Find the area of a circle with a diameter of .
This is the exact area. Using :
The area is , or approximately .
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