Central Angles and Arcs Flashcard

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 an arc in a circle?

Back

An arc is a portion of the circumference of a circle.

Front

What is the measure of a minor arc?

Back

A minor arc measures less than 180 degrees.

Front

What is the measure of a major arc?

Back

A major arc measures greater than 180 degrees.

Front

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

Back

The central angle and its corresponding arc are congruent.

Front

How do you calculate the measure of an arc?

Back

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

Front

What is the formula for the circumference of a circle?

Back

The circumference C of a circle is given by the formula C = 2πr, where r is the radius.

Front

If the central angle is 120 degrees, what is the measure of the corresponding arc?

Back

The measure of the corresponding arc is also 120 degrees.

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

What is a semicircle?

Back

A semicircle is an arc that measures exactly 180 degrees.