Calculate the area of a sector of a circle with radius 10 metres and angle of 90 degrees at the centre.

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 3)

Answer 1

Given:

Radius = 10 m

Angle = 90°

Concept used:

Area of a sector = \(\rm \frac{πr^2}{360^o} \timesθ\)

Here,

r = radius

θ = angle of sector

Calculation:

Area of the sector = \(\rm π\frac{10^2}{360^o} \times90^o\)

⇒ \(\rm \frac{22}{7} \times\frac{100}{4}\)

⇒ 78.57 ≈ 78.5 m²

∴ The area of the sector is 78.5 m2.

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