Arcs & Central Angles

Front

What is a major arc?

Back

A major arc is an arc that measures more than 180 degrees. For example, in circle O, arc BDA is a major arc.

Front

What is a minor arc?

Back

A minor arc is an arc that measures less than 180 degrees. For example, in circle O, arc AB is a minor arc.

Front

What is the measure of a full circle in degrees?

Back

A full circle measures 360 degrees.

Front

How do you find the measure of an arc?

Back

The measure of an arc can be found using the central angle that subtends the arc. The measure of the arc is equal to the measure of the central 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 intersect the circle.

Front

If the central angle is 60 degrees, what is the measure of the arc?

Back

The measure of the arc is also 60 degrees.

Front

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

Back

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

Front

What is the formula for finding 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

If the radius of a circle is 10 cm and the central angle is 90 degrees, what is the length of the arc?

Back

The length of the arc is 15.71 cm.

Front

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

Back

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