Central Angles and Arcs Quick Check

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

Define a minor arc.

Back

A minor arc is an arc that is smaller than a semicircle, measured by the central angle that subtends it.

Front

What is a major arc?

Back

A major arc is an arc that is larger than a semicircle, measured by the central angle that subtends it.

Front

How do you find the measure of a central angle?

Back

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

Front

What is a secant line?

Back

A secant line is a line that intersects a circle at two points.

Front

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

Back

The measure of the central angle AOB is also 60 degrees.

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

How do you identify a minor arc in a circle?

Back

A minor arc can be identified by its endpoints and is the shorter arc connecting those points.

Front

What is the formula for the length of an arc?

Back

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

Front

What is the difference between a chord and a secant?

Back

A chord is a line segment whose endpoints lie on the circle, while a secant is a line that intersects the circle at two points.