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The points A, B and C lie on a circle with centre O. The ∠ACB = 47.5°. What is the ∠AOB on the minor AB^\widehat{AB}AB​?
Question

The points A, B and C lie on a circle with centre O. The ∠ACB = 47.5°. What is the ∠AOB on the minor AB^\widehat{AB}​?

A.

92°

B.

95°

C.

94°

D.

93°

Correct option is B

Given:

ACB=47.5ACB = 47.5^\circ​​

A, B, C are on the circle with center O.

Formula Used:
The angle subtended at the center is twice the angle subtended at the circumference:

AOB=2×ACB\angle AOB = 2 \times \angle ACB 

Solution:

Using the property: 

AOB=2×47.5=95\angle AOB = 2 \times 47.5^\circ = 95^\circ ​​

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