Question

In the circle below, if the measure of arc BC = 92 °, find the measure of < BAC.

Answer 1

Explanation:

Remember that if an angle is inscribed in a circle, then the measure of the angle equals one-half the measure of its intercepted arc. Thus, if the measure of arc BC = 92 °, the measure of < BAC would be:

$\angle BAC\text{ =}\frac{1}{2}(BC)=\frac{1}{2}(92^{\circ})=46^{\circ}$

We can conclude that the correct answer is:

Answer:

$46^{\circ}$