Circles Central and Inscribed Angles

Explain the relationship between the central angle and the sector it forms.

• The central angle and the sector it forms are inversely related

• The central angle has no impact on the sector it forms

• The central angle and the sector it forms have a direct relationship where the central angle increases, the area of the sector also increases.

• The sector size determines the central angle

In a circle, what is the relationship between the angle formed by a chord and the arc it intercepts?

• The angle is greater than the measure of the intercepted arc.

• The angle is half the measure of the intercepted arc.

• The angle is unrelated to the measure of the intercepted arc.

• The angle is equal to the measure of the intercepted arc.

Solve for the missing angle.

• 45^o

• 90^o

• 22.5^o

• 128^o

Find the measure of arc AB.

• 17

• 34

• 68

• 146

• A
• B
• C
• D

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

• 5

• 9

• 8

• 6

central angle: an angle with its vertex _____________ the circle

• at the center of

• on

Find the measure of arc JH

• 93

• 130

• 120

• 95

Find the measure of the indicated angle.

• 42
  ⁰
  ⁰
  ⁰

• 51

• 36

• 45

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.

• 90

• 60

• 55

• 113