A sector angle is a plane figure surrounded by two radii and the included arc in a circle. A sector comprising of the central angle of 180° is known as a semicircle. This tutorial explains you how to calculate the degree measure of sector in a circle.
Consider a cake which has a radius of 5 m. When a piece of cake is cut from it which has an area of 50 m then calculate the angle made by the piece of cake.
|Angle of sector||= (A x 360) / π r2|
|= (50 x 360) / π x 5 x 5|
|= 18000 / 78.5|