Quiz on Central Angles and Arcs

In circle I, the central angle BCD measures 120 degrees. What is the relationship between this angle and the intercepted arc BD?

• Arc BD is equal to 120 degrees.

• Arc BD is half of 120 degrees.

• Arc BD is twice 120 degrees.

• Arc BD is 60 degrees.

If the central angle STU measures 60 degrees, what is the measure of the intercepted arc SU in circle F?

• 30 degrees

• 60 degrees

• 120 degrees

• 90 degrees

If the central angle YHZ is 45 degrees, what is the measure of the intercepted arc YZ in circle H?

• 90 degrees

• 45 degrees

• 135 degrees

• 180 degrees

In circle P, the central angle XYZ measures 45 degrees. What is the relationship between the angle and the intercepted arc XZ?

• Arc XZ is twice the angle.

• Arc XZ is equal to the angle.

• Arc XZ is half the angle.

• Arc XZ is three times the angle.

Solve for the missing angle.

• 45^o
• 90^o
• 22.5^o
• 128^o

Tags

CCSS.HSG.C.A.2

Determine if the angle is a central angle, inscribed angle or neither.
$\angle\ BAC$

• central angle

• inscribed angle

• neither

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.A.3

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

• 150°
• 100°
• 210°
• 105°

Tags

CCSS.HSG.C.A.2

What is the measure of the intercepted arc of a central angle that measures 80 degrees?

• 40 degrees

• 80 degrees

• 160 degrees

• 360 degrees

What is the relationship between a central angle and its intercepted arc?

• The central angle is twice the intercepted arc.

• The intercepted arc is equal to the central angle.

• The central angle is half the intercepted arc.

• The intercepted arc is unrelated to the central angle.

A circle is divided into 8 equal parts by central angles. What is the measure of each central angle?

• 60 degrees

• 90 degrees

• 45 degrees

• 30 degrees