Which of the following expressions represents the area of a minor segment of a circle…

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

Problem

Which of the following expressions represents the area of a minor segment of a circle of radius rr subtended by a central angle θ\theta (in degrees)? (a) θ360πr2+12r2sin⁡θ\dfrac{\theta}{360}\pi r^{2}+\dfrac{1}{2}r^{2}\sin\theta (b) πr2−12r2sin⁡θ\pi r^{2}-\dfrac{1}{2}r^{2}\sin\theta (c) θ360πr2−12r2sin⁡θ\dfrac{\theta}{360}\pi r^{2}-\dfrac{1}{2}r^{2}\sin\theta (d) θ180πr2−12r2sin⁡θ\dfrac{\theta}{180}\pi r^{2}-\dfrac{1}{2}r^{2}\sin\theta

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