SSC CGL 2023 PYQ — Question 74

SSC CGL - 18 July 2023 - Shift 4 • Quantitative Aptitude • Q74

The area of a sector is 1848 m2 and the central angle of the sector is 270°. Find the radius of the circle. (Take π = 22/7)

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 28 m.

We know that,

Area of sector = θ/360 × πr2

Now, according to the question,

⇒ 1848 = 270/360 × 22/7 × r2

⇒ r2 = (1848 × 360 × 7)/(270 × 22)

⇒ r2 = 784

⇒ r = 28 m