What is the area of a sector that subtends an angle of degrees at the centre of a…

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

Problem

What is the area of a sector that subtends an angle of

\theta

degrees at the centre of a circle of radius

r

? (a)

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

(b)

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

(c)

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

(d)

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