Question

The angle formed by connecting the endpoints of the arc to any point on the circumference that is not in the sector is.........to half the central angle.

• A. equal
• B. not equal
• C. greater
• D. lesser

Answer 1

The correct option is A equal

The angle $\angle AMB$, formed by chord (here, AB) to any point (M) on the circumference is half to the angle $\angle AOB$; formed at centre )of a circle.

Here in figure ACB is a arc and AB is the chord.

So, $\angle AOB=2\angle AMB$

Therefore option A is the answer.