Determination of the inscribed and central angle.

Let’s recall the definitions of inscribed and central angles.

The center angle is the angle whose vertex is at the center of the circle.

Let’s also remember a number of its properties:

So, the value of the central angle is equal to the angular value of the arc on which it rests.

This means that a central angle of degrees will rest on an arc equal to, that is, a circle.

The central angle, equal to, rests on an arc in degrees, that is, on a sixth of a circle.

An inscribed angle is an angle whose vertex lies on a circle and the sides intersect it.

Inscribed angle property:

The value of the inscribed angle is two times less than the central one, which rests on the same arc.

Also, to solve problems, we need the concept of “chord”.