Central Angles

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 a central angle?

Back

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

Tags

CCSS.HSG.C.A.2

Front

If the measure of arc ABC is 210°, what is the measure of ∠AOC?

Back

150°

Tags

CCSS.HSG.C.A.2

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.

Tags

CCSS.HSG.C.B.5

Front

What is the formula to find the measure of an arc?

Back

The measure of an arc can be found using the formula: Arc Measure = Central Angle Measure.

Tags

CCSS.HSG.C.B.5

Front

If the measure of arc WXZ is 231°, what is the measure of ∠WOZ?

Back

231°

Tags

CCSS.HSG.C.A.2

Front

What is the measure of arc JH if ∠JOH = 130°?

Back

130°

Tags

CCSS.HSG.C.B.5

Front

How do you solve for a missing angle in a circle?

Back

To solve for a missing angle, use the relationship between the central angle and the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of a full circle in degrees?

Back

A full circle measures 360°.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

If ∠AOB = 45°, what is the measure of arc AB?

Back

45°

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1