Question

In circle A below, if angle BAC measures 30 degrees, what is the measure of arc BC?

Answer 1

30°

Explanation:

The measure of the arc is the same as the measure of the central angle that intercepts it, hence

m AC = ∠BAC = 30°

Answer 2

Answer: The measure of arc BC is 30°

Explanation:

It is important to remember that, by definition:

`Central\ angle = Intercepted\ arc`

Therefore, in this case, knowing that the angle BAC (which is the central angle) in the circle provided measures 30 degrees, you can conclude that the measure of arc BC (which is the intercepted arc) is 30 degrees.

Then you get that the answer is:

`BAC=BC`

`BC=30\°`