Circle Graphs Central Angles

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

• 60 degrees

• 90 degrees

• 72 degrees

• 45 degrees

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

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

• 50%

• 90%

• 30%

• 25%

The sectors in a circle graph are labeled: Dogs 40%, Cats - 30%, Birds - 20%, Fish - 10%.

What is the measure of the angle for the Birds sector?

• 40 degrees

• 360 degrees

• 144 degrees

• 4 degrees

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

• 150°

• 100°

• 210°

• 105°

Solve for x. 

• 5

• 20

• 40

• 85

Find the measure of arc AB.

• 17

• 34

• 68

• 146

Q1. What is the value of x?

• A) x = 160

• B) x = 40

• C) x = 80

• D) x = 360

Compare the central angles of two sectors in a circle graph: Sector A - 120 degrees, Sector B - 90 degrees.

• Sector A has a central angle of 180 degrees.

• Sector A has a larger central angle than Sector B.

• Sector A and Sector B have equal central angles.

• Sector A has a smaller central angle than Sector B.

The circle graph shows the percentage of names. What is the percentage of people named Tony?

• 60%

• 25%

• 50%

• 75%