Math Homework. Do It Faster, Learn It Better.


A sector is a region of a circle bounded by a central angle and its intercepted arc .

The area of a sector is equal to the area of the circle multiplied by the ratio of the central angle to 360 ° .

For example, in the figure above, the area of the shaded sector is

50 360 π r 2 = 5 36 π ( 4 ) = 5 9 π square units