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 extend to the circumference.

Tags

CCSS.HSG.C.A.2

Front

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

Back

150°

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 its intercepted arc.

Tags

CCSS.HSG.C.B.5

Front

Define the term 'arc' in the context of a circle.

Back

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

Tags

CCSS.HSG.C.B.5

Front

What is the formula to find the measure of a central angle given the measure of the arc?

Back

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

Front

What is the measure of arc AB if the central angle ∠AOB = 142°?

Back

142°

Front

What is a circle?

Back

A circle is a set of all points in a plane that are equidistant from a single point called the center.

Front

If the measure of arc JH is 130°, what is the measure of ∠JOH?

Back

130°

Tags

CCSS.HSG.C.A.2

Front

What is the measure of a semicircle?

Back

180°

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

If the measure of arc DE is 95°, what is the measure of ∠DOE?

Back

95°

Tags

CCSS.HSG.C.B.5