Areas of Segment and Sector of a Circle

What is Formula for Area of Sector of Circle?

The formula for area of a circle sector is given by:

• Area of Sector (when θ is in degrees) = πr² × (θ / 360°)

• Area of Sector (when θ is in radians) = (1/2) × θr²

What is Formula for Area of Segment of Circle?

The formula for the area of a circle segment is given by:

• Area of Segment (when θ is in radians) = (1/2) × r²(θ – sinθ)

• Area of Segment (when θ is in degrees) = (1/2) × r²[(π/180)θ – sinθ]

What is an Example of a Segment and a Sector of a Circle?

An example of segment of circle is semicircle which is the largest segment of a circle whereas an example of sector of circle is a pizza slice.

What is Difference Between a Segment and a Sector in a Circle?

Difference between a segment and a sector in a circle is that the segment is made by the chord and arc joining the end points of the chord whereas the sector is made by the two radii and arc joining the two radii.

Areas of sector and segment of a circle with radius r and subtends an angle θ (in radians) are given by (1/2)×θr² and (1/2)×r²(θ -sinθ) respectively. The area of the sector and the area of the segment of the circle are easily calculated using the above formula.

In this article, we will explore the areas of sector and segment in detail and also learn the basics of sector and segment of a circle.