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 | |
= 229.299° |