Question

A chord of a circle is equal to its radius of length 9 cm. Find the angle subtended by it in major segment.

• A. 90°
• B. 60°
• C. 30°
• D. 120

Answer 1

Answer:

C. 30°

in a circle, the angle subtended by an arc at the center is twice the angle subtended by it at the remaining part of the circle. The length of chord = radius = 9cm It forms an equilateral triangle with each angle at 60° The angle subtended by the chord at the center = 60° angle subtended in the major segment is half of the angle subtended at the center. 60°/2 = 30°