Learn How to Calculate Degree Measure of Sector in a Circle - Definition, Formula, Example,

How to Calculate Degree Measure of Sector in a Circle - Definition, Formula, Example,

Definition:

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.

Formula:

Angle of sector = (A x 360) / π r2
Where
A = area of sector r = radius of sector
Example :

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.

Solution:
Angle of sector = (A x 360) / π r2
= (50 x 360) / π x 5 x 5
= 18000 / 78.5
= 229.299°

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