An arc of length cm subtends an angle of radians at the centre of a circle

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

An arc of length

10\pi

cm subtends an angle of

\dfrac{2\pi}{3}

radians at the centre of a circle. Calculate (i) the radius of the circle and (ii) the area of the corresponding sector. (a)

15\text{ cm},\;150\pi\text{ cm}^{2}

(b)

15\text{ cm},\;75\pi\text{ cm}^{2}

(c)

20\text{ cm},\;100\pi\text{ cm}^{2}

(d)

12.5\text{ cm},\;62.5\pi\text{ cm}^{2}