Question

An inscribed angle has a measure of 48 degrees. Determine the measure of the intercepted arc.

Answer 1

An inscribed angle is half the measure of its intercepted arc. If you know the inscribed angle measure, you can figure out the intercepted arc measure. If you know the intercepted arc measure you can figure out the inscribed angle measure. Let's try a few.

In this example, we have an intercepted arc measure of 48 degrees. If the inscribed angle is half of its intercepted arc, half of 48 equals 24. So, the inscribed angle equals 24 degrees. 48 * 1/2 is the same as 48 / 2. Both equal 24.

Intercepted Arc = 48 degrees, Inscribed angle = 24 degrees

48 degree arc measure

If you have an inscribed angle of 50 degrees, what is the intercepted arc measure? Remember the inscribed angle is half the measure of its intercepted arc, so 50 * 2 = 100 degrees.