Which formula gives the area of a sector of a circle of radius that subtends an angle…

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

Problem

Which formula gives the area of a sector of a circle of radius

r

that subtends an angle

\theta

(in degrees) at the centre? (a)

\pi r\theta

(b)

\dfrac{\theta}{360}\,\pi r^{2}

(c)

\dfrac{1}{2}\,r^{2}\theta

(d)

\dfrac{\theta}{180}\,\pi r^{2}