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Question

A chord PQ of length 12 cm subtends an angle of 120 at the centre of a circle. Find the area of the minor segment cut off by the chord PQ.


Solution

Area of the shaded segment =πr2×θ360or2sin θ2cos θ2

=π×12×12×12036012×12×sin 60o cos 60o

=48π144×32×12

=48π363

=12(4π33)


Mathematics
RD Sharma
Standard X

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