A minor segment is cut from a circle of radius by a chord that subtends an angle of…

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

Problem

A minor segment is cut from a circle of radius

14\,\text{cm}

by a chord that subtends an angle of

60^{\circ}

at the centre. What is the area of the segment? (a)

\dfrac{196\pi}{3} - 49\sqrt{3}\,\text{cm}^2

(b)

\dfrac{98\pi}{3} + 49\sqrt{3}\,\text{cm}^2

(c)

\dfrac{98\pi}{3} - 49\sqrt{3}\,\text{cm}^2

(d)

\dfrac{98\pi}{3} - 98\sqrt{3}\,\text{cm}^2