How to Find Area of a Sector

A short tutorial on how to determine the area of sector of the circle with formula and solved example.

Area of a sector of a Circle Calculation

Circle can be divided into two main slices. The Sector and Segment. A circle sector refers to the portion of the circle enclosed between the two radii and an arc. It is further divided into minor sector, representing the smaller portion and the major sector, which represents the larger portion. Finding the area of a sector is so simple. As we all know the area of the circle is given by the π times the square of its radius length. Use our online calculator to perform area of a sector of a circle calculation.
How To Calculate Area Of Sector Of Circle
Learn here how to find area of a sector of the circle using the sector area formula.
Area of Sector Formula:
Area of the sector of the circle can be found by multiplying the area of the circle with the
ratio of the angle and dividing by 2π
Area of the sector of the circle = πr2 (
θ/360)
r - Radius of the Circle.
θ - Angle of the Circle
Area Of Sector Of Circle Formula
Area of Sector Example Problems:
Consider a circle with the radius of 6 cm and central angle of 45. What is the area of sector of circle?
Step 1:
Given,
Radius (r) - 6 cm
Angle (θ) - 45
Area Of Sector Of Circle Example
Step 2: Substitute the values in the formula
Area of the sector of the circle = πr2 (θ/360)
=3.14 x 62 (45/360)
=3.14 x 36 (0.125)
=116.64 x
0.125
=14.58 cm2
Area of the sector of the circle is 14.58 cm2
Area Of Sector Of Circle Calculation


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