If (in radians) is the angle subtended at the centre by a chord of a circle of radius

MATHEMATICS · Single correct · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

If θ\theta (in radians) is the angle subtended at the centre by a chord of a circle of radius rr, the area of the minor segment bounded by the chord is (a) 12r2(θ+sin⁡θ)\dfrac12 r^{2}(\theta+\sin\theta) (b) 12r2θsin⁡θ\dfrac12 r^{2}\theta\sin\theta (c) 12r2(θ−sin⁡θ)\dfrac12 r^{2}(\theta-\sin\theta) (d) r2(θ−sin⁡θ)r^{2}(\theta-\sin\theta)

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