Question

A chord of a circle of radius 20 cm subtends an angle of 90 degree at the centre .Find the area of the corresponding major segment of the circle.

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Answer 1

Step-by-step explanation:

Area of circle=πr²

=πr²

=314/100*20*20

=1256 cm²

area of minor segment =theta/360*πr² -1/2*r²sin theta

=90*314*20*20/360*100 -1/2*20²(1)

=314-200

114cm²

area of major segment=area of circle -area of minor segment

=1256-114

=1142 cm²