Exams › SSC CGL (Prelims) › General

A chord of a circle subtends an angle of $80^\circ$ at the center. What is the angle subtended at a point on the circle in the major segment?

1. 30°
2. 40°
3. 60°
4. 80°

Correct answer: 40°

Solution

The angle subtended by a chord at the center is twice the angle subtended at the circumference on the same chord. So the angle at the point on the circle is $80^\circ/2=40^\circ$.

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