Question

Find the area of a sector of a circle of radius 28 cm and central angle 45°.

Answer 1

Given that, Radius of a circle, r = 28 cm

And measure of central angle θ = 45°

∴ Area of a sector of a circle = `(π"r"^2)/360^circ xx θ`

= `22/7 xx (28)^2/360^circ xx 45^circ`

= `(22 xx 28 xx 28)/7 xx 45^circ/360^circ`

= `22 xx 4 xx 28 xx 1/8`

= 22 × 14

= 308 cm² 

Hence, the required area of a sector of a circle is 308² cm.