Circles - Central Angles

Front

What is a central angle in a circle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides (rays) extend to the circumference.

Front

How is the measure of an arc related to its central angle?

Back

The measure of an arc is equal to the measure of its corresponding central angle, measured in degrees.

Front

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

Back

A minor arc is an arc that is less than 180 degrees, while a major arc is an arc that is greater than 180 degrees.

Front

What is the measure of a semicircle?

Back

The measure of a semicircle is 180 degrees.

Front

If the measure of arc AD is 38 degrees, what is the measure of the central angle that intercepts arc AD?

Back

The measure of the central angle that intercepts arc AD is also 38 degrees.

Front

What is the relationship between the measures of arcs and angles in a circle?

Back

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

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.

Front

If arc AYB measures 260 degrees, what type of arc is it?

Back

Arc AYB is a major arc because it measures more than 180 degrees.

Front

What is the formula to find the length of an arc?

Back

The length of an arc can be found using the formula: Length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Front

What is the total measure of all arcs in a circle?

Back

The total measure of all arcs in a circle is 360 degrees.