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

How do you find the measure of an arc?

Back

The measure of an arc is equal to the measure of the central angle that subtends it.

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

If the measure of arc JH is 130°, what is the measure of the central angle subtending arc JH?

Back

The measure of the central angle subtending arc JH is also 130°.

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

How do you calculate the length of an arc?

Back

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

Front

What is the measure of arc GDF if the central angle is 304°?

Back

The measure of arc GDF is 304°.

Front

If ∠PTQ measures 140°, what is the measure of the arc it intercepts?

Back

The measure of the arc intercepted by ∠PTQ is also 140°.

Front

What is the measure of arc JK if it is given as 21°?

Back

The measure of arc JK is 21°.

Front

What is the measure of angle XTY if it is given as 65°?

Back

The measure of angle XTY is 65°.