The intercepted arc is the arc that is inside the inscribed angle and whose endpoints are on the angle. The vertex of an inscribed angle can be anywhere on the circle as long as its sides intersect the circle to form an intercepted arc.

How long is an arc intercepted?

The length of the intercepted arc is equal to the circumference of the circle. Therefore, the radian measure of this central angle is the circumference of the circle divided by the circle’s radius, ��.

What is the relationship between central angle and intercepted arc?

What is the relationship between central angles and their arcs? The measure of a central angle is equal to the measure of its intercepted arc.