Question

in figure a circle with Centre O length of Chord ab is equal to the radius of the circle find the measure of each angle of a following L AOB L ACB​

Answer 1

$\huge\bold\red{Hey!}$

In the given figure, OA and OB are the radii of the circle.

OA = OB = AB (Given)

∆OAB is an equilateral triangle.

⇒ ∠AOB = ∠OAB = ∠OBA = 60º

The measure of an angle subtended by an arc at a point on the circle is half of the measure of the angle subtended by the arc at the centre.

ACB =1/2 ∠AOB =1/2x 60° = 30°

So,

∠ACB is 30º

Thank You.. ✌️

Answer 2

Step-by-step explanation:

In the given figure, OA and OB are the radii of the circle.

OA = OB = AB (Given)

∆OAB is an equilateral triangle.

⇒ ∠AOB = ∠OAB = ∠OBA = 60º

The measure of an angle subtended by an arc at a point on the circle is half of the measure of the angle subtended by the arc at the centre.

ACB =1/2 ∠AOB =1/2x 60° = 30°

So,

∠ACB is 30º

Thank You.. ✌️