Central Angles and Arc measures

Front

What is a central angle?

Back

An angle whose vertex is at the center of a circle and whose sides intersect the circle.

Front

Identify the measure of a central angle in a circle.

Back

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

Front

What is the relationship between a central angle and its intercepted arc?

Back

The measure of the central angle is equal to the measure of the intercepted arc.

Front

Define a chord in a circle.

Back

A chord is a line segment with both endpoints on the circle.

Front

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

Back

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

Front

What is a semicircle?

Back

A semicircle is an arc that measures exactly 180 degrees.

Front

How do you calculate the measure of an arc?

Back

The measure of an arc can be calculated using the central angle that intercepts it.

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 measure of arc AD if the central angle is 76 degrees?

Back

The measure of arc AD is 76 degrees.

Front

What is the relationship between the angles formed by two chords that intersect inside a circle?

Back

The measure of the angle is equal to the average of the measures of the arcs intercepted by the angle.