Exams › SSC CGL (Prelims) › General

A chord divides a circle into two arcs. The angle subtended by the major arc at the circumference is 110°. What is the central angle subtended by the major arc?

1. 55°
2. 110°
3. 220°
4. 270°

Correct answer: 220°

Solution

For the same arc, the angle subtended at the centre is twice the angle subtended at the circumference. Since the angle at the circumference is 110°, the central angle is \(2\times110°=220°\).

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