Question

What is the relationship between a central angle and an inscribed angle? What is

the relationship between a central angle and circumscribed angle?

Answer 1

A central angle and an inscribed angle intercept the same arc on a circle. A central angle and a circumscribed angle are supplementary.

Step-by-step explanation:

In geometry, a central angle is an angle whose vertex is located at the center of a circle and whose sides pass through two points on the circle's circumference. An inscribed angle is an angle whose vertex is on the circle and whose sides pass through two different points on the circle's circumference.

The relationship between a central angle and an inscribed angle is that they intercept the same arc on the circle.

A circumscribed angle is an angle whose sides are tangent to a circle and whose vertex is located outside the circle. The relationship between a central angle and a circumscribed angle is that they are supplementary, meaning their measures add up to 180 degrees.

Answer 2

The relationship between central angle and inscribed angle is central angle = angle subtended by an arc of the circle from the center of the circle and inscribed angles = angle subtended by an arc of the circle from any point of the circumference of the circle also called Circumferential angle and peripheral angle