Central and Inscribed Angle

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 circumference.

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

How do you find 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

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

Back

The measure of the inscribed angle that intercepts arc AB is 34 degrees.

Front

What is the formula to calculate the measure of an arc?

Back

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

Front

What is the relationship between the measures of two inscribed angles that intercept the same arc?

Back

The measures of two inscribed angles that intercept the same arc are equal.

Front

What is the measure of a semicircle?

Back

The measure of a semicircle is 180 degrees.

Front

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

Back

If an inscribed angle intercepts a semicircle, its measure is 90 degrees.

Front

What is the vertex of an inscribed angle?

Back

The vertex of an inscribed angle is the point where the two chords meet, and it lies on the circumference of the circle.