SSC CHSL 2022 PYQ — Question 56

SSC CHSL - 30 May 2022 - Shift 2 • Quantitative Aptitude • Q56

Find the area of the sector of a circle of radius 7 cm with a central angle of 90°.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 38.50 cm2

Given:

Radius, r = 7 cm

Centarl angle, θ\theta  = 90°

Concept Used:

Area of sector=θ360×πr2Area\ of\ sector = {\theta \over 360} × \pi r^2  .....(i)

Explanation:

According to the given question,

Area of sector = (90/360) × (22/7) × 49     {using equation (i)}

⇒ Area of sector = 1/4 × 22 × 7

⇒ Area of sector = 77/2 = 38.5

Hence the required area of sector is 38.5 cm2.