Area of a Sector of a Circle

Written by Jerry Ratzlaff on . Posted in Plane Geometry

area of a Sector of a Circle

A sector is a fraction of the area of a circle.

area of a Sector of a Circle formula

$$A = \frac { 1 } { 2 } r^2 \theta \;\;$$  (when $$\; \theta \;$$ is in radians)

$$A = \frac { \theta } { 360 } \pi r^2 \;\;$$  (when $$\; \theta \;$$ is in degrees)

$$A = \frac { \theta } { 2 } r^2 \;\;$$   (when $$\; \theta \;$$ is in radians)

$$A = \frac { \theta \; \pi } { 360 } r^2 \;\;$$   (when $$\; \theta \;$$ is in degrees)

Where:

$$A$$ = area

$$\pi$$ = Pi

$$r$$ = radius

$$\theta$$ = angle

Tags: Equations for Area