Central Angles and Arcs (Day 2)

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 an arc?

Back

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

Tags

CCSS.HSG.C.B.5

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 the arc it intercepts.

Tags

CCSS.HSG.C.B.5

Front

If the measure of arc AB is 142 degrees, what is the measure of the central angle AOB?

Back

The measure of the central angle AOB is also 142 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

What is the formula for finding the length of an arc?

Back

Arc length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

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.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

If the measure of arc KL is 88 degrees, what is the measure of the central angle KOL?

Back

The measure of the central angle KOL is 88 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

What is the total measure of all arcs in a circle?

Back

The total measure of all arcs in a circle is 360 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

How do you find the measure of an inscribed angle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

If the measure of arc FD is 124 degrees, what is the measure of the inscribed angle FGD?

Back

The measure of the inscribed angle FGD is 62 degrees.

Tags

CCSS.HSG.C.A.2