10.2 Measuring Angles and Arcs

Front

What is a minor arc?

Back

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

Front

What is a major arc?

Back

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

Front

What is a semicircle?

Back

A semicircle is an arc that measures exactly 180 degrees.

Front

How do you measure an arc?

Back

An arc is measured by the central angle that subtends it.

Front

What is the relationship between the central angle and the arc length?

Back

The arc length is proportional to the central angle.

Front

If arc AB measures 142 degrees, what is the measure of the corresponding central angle?

Back

The measure of the corresponding central angle is also 142 degrees.

Front

What is the formula for finding the length of an arc?

Back

Arc length = (central angle/360) * 2πr, where r is the radius.

Front

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

Back

A minor arc measures less than 180 degrees, while a major arc measures more than 180 degrees.

Front

If a circle has a radius of 10 cm, what is the length of an arc measuring 90 degrees?

Back

Arc length = (90/360) * 2π(10) = 15.71 cm.

Front

What is the measure of a full circle in degrees?

Back

A full circle measures 360 degrees.