Central and Inscribed Angles

Front

What is a central angle?

Back

An angle in a circle with its vertex at the center of the circle.

Front

What is an inscribed angle?

Back

An angle in a circle with its vertex on the circle itself.

Front

Which number best represents an inscribed angle?

Back

9

Front

If the measure of arc XY is 74 degrees, what is the inscribed angle that intercepts arc XY?

Back

37 degrees (the 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

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

If the measure of a central angle is 50 degrees, what is the measure of the intercepted arc?

Back

50 degrees.

Front

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

Back

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

Front

If an inscribed angle intercepts an arc measuring 180 degrees, what is the measure of the inscribed angle?

Back

90 degrees.

Front

What is the measure of a central angle that intercepts an arc measuring 216 degrees?

Back

216 degrees.