The area of a sector of a circle is 308 cm², with the central angle measuring 45°. The radius of the circle is:

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)

Answer 1

Given:

The area of a sector of a circle is 308 cm2

The angle of the sector is 45°

Concept used:

Area of a sector = πr2 × θ/360°

θ = angle of the sector

r = radius

Calculation:

According to the question,

\(\rm\frac{45^o}{360^o} × π r^2\) = 308

⇒ πr2 = 308 × 8

⇒ 22/7 × r2 = 2464

⇒ r2 = 784

⇒ r = 28cm

So, radius = 28 cm

∴ The radius of the circle is 28 cm.