Formula for Area of a Sector
For a circle having radius equals to ‘r’ units and angle of the sector is θ (in degrees), the area is given by,
Area of sector = θ / 360° × πr2
When θ is given in radian, the area is given by
Area of sector = 1/2 × r2θ
Proof:
For a circle with radius r units, the area is given by πr2.
Now the fraction of the area enclosed by the sector will be the same as the fraction of the angle enclosed by the sector in the circle.
Thus, the fraction of area enclosed = θ / 360°
So, the area enclosed by the sector = (θ / 360°) × πr2
How to Calculate Area of Sector of Circle?
Area of the sector is easily calculated by using various formulas of geometry. In this article, we have covered a definition of sector circles, types of sectors, and others in detail.
Table of Content
- Sector Definition
- Types of Sectors
- Formula for Area of a Sector
- Examples on Area of Sector of Circle
- FAQs on Area of Sector of Circle