Which of the following expresses the area of a sector of a circle with radius and…

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

Problem

Which of the following expresses the area

A

of a sector of a circle with radius

r

and central angle

\theta

(in degrees)? (a)

A = \dfrac{\theta}{360}\,(2\pi r^{2})

(b)

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

(c)

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

(d)

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