A chord of a circle of radius subtends an angle of at the centre

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

Problem

A chord of a circle of radius

10\,\text{cm}

subtends an angle of

60^{\circ}

at the centre. Find the perimeter of the corresponding minor segment. (a)

\dfrac{10\pi}{3}+20\;\text{cm}

(b)

\dfrac{10\pi}{3}+10\;\text{cm}

(c)

\dfrac{5\pi}{3}+10\;\text{cm}

(d)

\dfrac{10\pi}{3}+10\sqrt{3}\;\text{cm}