Central Angles and Arc Measures

Front

What is a central angle?

Back

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii that intersect the circle.

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

Define a minor arc.

Back

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

Front

Define 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

If the measure of arc AB is 100 degrees, what is the measure of the central angle AOB?

Back

The measure of the central angle AOB is also 100 degrees.

Front

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

Back

The measure of an arc can be found using the formula: Arc Measure = (Central Angle / 360) * Circumference of the Circle.

Front

If the measure of arc ABC is 210°, what is the measure of the remaining arc AOC?

Back

The measure of arc AOC is 150° (360° - 210°).

Front

What is the measure of a full circle in degrees?

Back

A full circle measures 360 degrees.

Front

How do you find the length of an arc?

Back

The length of an arc can be calculated using the formula: Arc Length = (Central Angle / 360) * Circumference of the Circle.