SSC CHSL 2025 PYQ — Question 63

SSC CHSL - 30 Nov 2025 - Shift 3 • Quantitative Aptitude • Q63

A chord is equal to the radius of the circle. Find the angle subtended at the center.

Show answer & explanation

Correct answer: B

Explanation

Given:

Length of the chord = Radius (R)

According to the formula:

Chord = 2R sin(θ/2)

R = 2R sin(θ/2)

Dividing by R:

1 = 2 sin(θ/2)

sin(θ/2) = 1/2

θ/2 = 30°

θ = 60°