Central Angles and arc measures

Front

What is a central angle?

Back

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii that intersect the circle.

Front

How do you calculate the measure of a central angle?

Back

The measure of a central angle is equal to the measure of the arc it intercepts.

Front

What is the relationship between a central angle and its intercepted arc?

Back

The measure of a central angle is equal to the measure of the arc it intercepts.

Front

If the measure of arc GH is 120 degrees, what is the measure of the central angle GIH?

Back

The measure of the central angle GIH is 120 degrees.

Front

What is the formula for finding the measure of an inscribed angle?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Front

If the measure of arc GJ is 150 degrees, what is the measure of the inscribed angle GJI?

Back

The measure of the inscribed angle GJI is 75 degrees.

Front

What is the sum of the measures of the angles around a point?

Back

The sum of the measures of the angles around a point is 360 degrees.

Front

If two central angles are equal, what can be said about their intercepted arcs?

Back

If two central angles are equal, their intercepted arcs are also equal.

Front

What is the measure of a semicircle?

Back

The measure of a semicircle is 180 degrees.

Front

How do you find the measure of an angle formed by two chords that intersect inside a circle?

Back

The measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.