SSC CGL 2025 PYQ — Question 52

SSC CGL - 15 Sep 2025 - Shift 2 • Quantitative Aptitude • Q52

A sector of a circle with radius 6 cm has a central angle of 60°. What is the area of the corresponding segment?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. (6π−93)(6\pi - 9\sqrt{3})  cm2.

Area of sector = 6036060\over360 × π × 62

⇒ 161\over6 × π × 36 = 6π

Area of triangle = 121\over2 × 6 × 6 × sin60°

⇒ 18 × √32√3\over2 = 9√3

Area of segment = Sector − Triangle

⇒ 6π − 9√3 cm2