Area of a circle

P=πr2P=\pi r^2

Result unit: area units

What it describes

The area of a disk of radius rr.

Symbols

PP
area of the circle
rr
radius

Where it comes from

The area of a circle grows with the square of the radius — doubling the radius quadruples the area.

When to use it

Areas of circular figures, cross-sections, bases of a cylinder and a cone.

Example

The radius of a circle is r=3r=3. Find the area.
Substitutionr=3r=3.
ResultP=π⋅9=9π≈28.3P=\pi\cdot9=9\pi\approx28.3.

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