Circle Graphs and Central Angles

Calculate the central angle for a sector representing 20% of a circle graph.

• 60 degrees

• 90 degrees

• 72 degrees

• 45 degrees

Find the percentage represented by a sector with a central angle of 90 degrees in a circle graph.

• 50%

• 90%

• 30%

• 25%

If a pie piece in a circle graph represented 25% of the entire graph, which decimal and degree would represent the same amount?

• 25 degrees

• 90 degrees

• 0.25

• 0.90

What is the measure of the central angle in a circle graph representing 45% of the total data.

• 180 degrees

• 162 degrees

• 90 degrees

• 45 degrees

• x = 160
• x = 40
• x = 80
• x = 360

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

• 150°

• 100°

• 210°

• 105°

Find the measure of arc AB.

• 17

• 34

• 68

• 146

Solve for x. 

• 5

• 20

• 40

• 85

Find the value of x. Enter your answer as a number only.

Solve for x. 

• 5

• 20

• 40

• 85