Question

A chord of a circle is equal to its radius. Find the angle subtended by this chord at a point in major segament.​

Answer 1

Answer:

30°

Step-by-step explanation:

AB is a chord of a circle, which is equal to the radius of the circle, i.e.,

AB = BO …(i)

Join OA, AC and BC.

Since, OA = OB= Radius of circle

OA = AS = BO

As we know, angle subtended by a chord at the center is twice the angle subtended by it at any other point on the major axis.

As all angles are of 60° (equilateral triangle)

.: the angle subtended by this chord at a point in major segment:-

60/2=30°