Question

An inscribed angle in a circle measures 16°. What is the measure of the intercepted arc it creates?

Answer 1

The answer is 32 because the inscribed angle is 16 and the intercepted arc would be twice that since you have to half it in the formula.

Answer 2

The intercepted arc is 32°.

Explanation:

In this case we need to use the inscribed angle theorem which states that the measure of an inscribed angle is half the measure of its intercepted arc.

So, if the inscrebed angle is 16°, then the intercepted arc is double, according to the inscribed angle theorem, which is 32°.

Therefore, the intercepted arc is 32°.