A sector of a circle has area and its arc length is

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

Problem

A sector of a circle has area

48\pi\,\text{cm}^2

and its arc length is

12\pi\,\text{cm}

. Calculate the measure of the central angle

\theta

of the sector. (a)

180^\circ

(b)

90^\circ

(c)

270^\circ

(d)

240^\circ