CBSE Class 10-Mathematics: Chapter –12 Areas Related to Circles Part 23

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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