Central angles and arcs flashcardziz

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 calculate the measure of a central angle?

Back

The measure of a central angle can be calculated using the formula: (arc length / radius) = (central angle in radians).

Tags

CCSS.HSG.C.A.2

Front

What is an arc in a circle?

Back

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

Tags

CCSS.HSG.C.B.5

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.

Tags

CCSS.HSG.C.B.5

Front

How do you find the measure of an arc given the central angle?

Back

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

Front

What is the relationship between the central angle and the arc it subtends?

Back

The measure of the arc is equal to the measure of the central angle in degrees.

Tags

CCSS.HSG.C.B.5

Front

What is the formula for the length of an arc?

Back

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

Tags

CCSS.HSG.C.B.5

Front

What is the measure of a semicircle?

Back

A semicircle measures 180 degrees.

Tags

CCSS.HSG.CO.A.1

CCSS.4.MD.C.5B

Front

How do you determine the measure of an arc if you know the measures of the angles in a circle?

Back

The measure of an arc can be determined by adding the measures of the central angles that subtend it.

Tags

CCSS.HSG.C.B.5

Front

What is the significance of a 360-degree angle in relation to a circle?

Back

A 360-degree angle represents a full rotation around the circle, corresponding to the entire circumference.

Tags

CCSS.HSG.CO.A.1

CCSS.4.MD.C.5B