CBSE Class 10-Mathematics: Chapter – 12 Areas Related to Circles Part 23 (For CBSE, ICSE, IAS, NET, NRA 2022)
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Question 22:
A chord of a circle of radius subtends an angle of at the centre. Find the area of the corresponding segment of the circle.
Answer:
Here,
Area of minor sector
For, Area of ,
Draw OM .
In right triangles OMA and OMB,
[Radii of same circle]
[Common]
[RHS congruency]
In right angled triangle OMA,
Also,
Area of
Area of minor segment Area of minor sector – Area of
And Area of major segment
Area of minor segment