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Question

Find the area of the minor segment of a circle of radius 14 cm, when the angle of the corresponding sector is 60.


Solution

Area of the minor segment is given by πr2×θ360or2 sin θ2 cos θ2

=πr2×60o360or2 sin 30o cos 30o

=227×14×14×1614×14×12×32

=(3083493) cm2

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