Question

If the length of a chord is equal to its radius, then the angle made by the chord on the circle is?

Answer 1

Answer:

150

Step-by-step explanation:

Let, AB be the chord then the angle subtended by

AB at the minor arc of the circle is ∠ACB.Given, OA=OB=AB⇒ △OAB is equilateral⇒ ∠AOB=60 ∘ ⇒ Reflex ∠AOB= 360- 60 =300,

then, ∆ACB= 1/2 of reflex ∆AOB

= 1/2 × 300

= 150

( Angle at the centre=2×angle at any pt. on remaining part of the circle )