Arcs & Central Angles

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 a central angle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

How do you calculate the measure of an arc?

Back

The measure of an arc can be calculated using the formula: (central angle/360) * circumference of the 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

What is the measure of a semicircle?

Back

The measure of a semicircle is 180 degrees.

Tags

CCSS.HSG.CO.A.1

CCSS.4.MD.C.5B

Front

How is the measure of a minor arc related to its central angle?

Back

The measure of a minor arc is equal to the measure of its corresponding central angle.

Tags

CCSS.HSG.C.B.5

Front

What is the relationship between the measures of arcs and angles in a circle?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle is calculated using the formula: C = 2πr, where r is the radius.

Tags

CCSS.7.G.B.4

Front

What is the measure of arc AB if the central angle is 142 degrees?

Back

The measure of arc AB is 142 degrees.

Front

What is the measure of ∠PTQ if it intercepts an arc measuring 140 degrees?

Back

The measure of ∠PTQ is 70 degrees, as it is half the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2