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.

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 a major arc?

Back

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

Front

What is a minor arc?

Back

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

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

If the measure of arc AB is 68 degrees, what is the measure of the inscribed angle that intercepts arc AB?

Back

34 degrees (half of 68 degrees).

Front

What is the formula for finding 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

What is the difference between a semicircle and a major arc?

Back

A semicircle measures exactly 180 degrees, while a major arc measures greater than 180 degrees.

Front

If an inscribed angle intercepts a semicircle, what is its measure?

Back

The inscribed angle measures 90 degrees.