Which of the following is the correct expression for the area of a sector of a circle…

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

Problem

Which of the following is the correct expression for the area of a sector of a circle of radius

r

that subtends a central angle

\theta

(in degrees)? (a)

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

(b)

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

(c)

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

(d)

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