Inscribed and Central Angles

Front

What is an inscribed angle?

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle, and the sides of the angle are the chords.

Front

What is a central angle?

Back

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

Front

How do you calculate the measure of an inscribed angle?

Back

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

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 its intercepted arc.

Front

Define a major arc.

Back

A major arc is an arc that measures more than 180 degrees.

Front

Define a minor arc.

Back

A minor arc is an arc that measures less than 180 degrees.

Front

What is the formula to find the measure of an arc in a circle?

Back

The measure of an arc can be found using the formula: Arc Measure = Central Angle Measure.

Front

If the central angle is 90 degrees, what is the measure of the intercepted arc?

Back

The measure of the intercepted arc is 90 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 angle A is inscribed in a circle and intercepts arc BC, how is the measure of angle A related to arc BC?

Back

The measure of angle A is half the measure of arc BC.