SSC CGL 2025 PYQ — Question 54

SSC CGL - 22 Sep 2025 - Shift 1 • Quantitative Aptitude • Q54

A chord of length 24 cm lies 7 cm away from the center of a circle. What is the approximate radius of the circle?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 14 cm.

Half chord AP = 24/2 = 12 cm

Here, OP ⊥ AP

Radius = √[(AP)2 + (OP)2]

= √(122 + 72)

= √(144 + 49)

= √193

≈ 14 cm