Question

a chord of a circle is equal to the radius of circle . find the angle subtended by the chord at a point on major arc.​

Answer 1

Answer:

Hence, the angle subtended by the chord at a point on the minor arc is 150° and also at a point on the major arc is 30°.

Step-by-step explanation:

Consider the figure.

Given,

AB is equal to the radius of the circle.

In △OAB,

OA=OB=AB= radius of the circle.

Thus, △OAB is an equilateral triangle.

and ∠AOC=60°.

Also, ∠ACB=21∠AOB=21×60°=30°.

Since, ACBD is a cyclic quadrilateral,

∠ACB+∠ADB=180° ....[Opposite angles of cyclic quadrilateral are supplementary]

⇒∠ADB=180°−30°=150°

hope its helpful