Exams › SSC CGL (Prelims) › General

A chord AB is drawn in a circle with center O. The tangents at A and B meet at a point P. If ∠APB = 40°, what is the angle subtended by chord AB at the circumference of the circle?

1. 40°
2. 50°
3. 70°
4. 140°

Correct answer: 70°

Solution

For tangents at A and B, ∠APB = 180° - ∠AOB. So ∠AOB = 180° - 40° = 140°. The angle subtended by chord AB at the circumference is half the central angle, so it is 70°.

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