Find the exact area of the minor segment of a circle of radius cm subtended by a…

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

Problem

Find the exact area of the minor segment of a circle of radius

7\,

cm subtended by a central angle of

60^\circ

. (a)

\dfrac{49\pi}{6}-\dfrac{49\sqrt{3}}{4}\,\text{cm}^2

(b)

\dfrac{49\pi}{6}+\dfrac{49\sqrt{3}}{4}\,\text{cm}^2

(c)

\dfrac{49\pi}{3}-\dfrac{49\sqrt{3}}{4}\,\text{cm}^2

(d)

\dfrac{49\pi}{6}-\dfrac{49}{4}\,\text{cm}^2