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CBSE - X
Areas of Sector and Segment of a Circle
We know that the arc of a circle is a part of the circumference of the circle.
The circular region enclosed by two radii and the corresponding arc of a circle is called the sector of a circle.
The angle subtended by the corresponding arc of the sector at the centre of the circle is called the angle of the sector.
Area of a Sector of angle 
Area of a Sector of angle 
Length of an arc of angle 
Length of an arc of angle 
The circular region enclosed between a chord and the corresponding arc is called the segment of a circle. The area of a segment is the area of the corresponding sector minus the area of the corresponding triangle.
Area of Segment 
= Area of Sector 
– Area of 
The area of a sector of angle 
.
