Circle Wrap-Up

Match the words with their definitions. Then, match an example based on the diagram.

Groups:

(a) Minor Arc

,

(b) Major Arc

,

(c) Central Angle

,

(d) Radius

• An angle with a vertex at the center and two sides that are radii

• An arc that measures greater than 180

• 
• A segment whose endpoints are the center and any point on the circle

• 
• 
• 
• An arc that measures less than 180

What is the measure of the central angle ∠FPG in degrees?

• 60°

• 15°

• 105°

• 75°

What is the circumference of the circle rounded to the nearest tenth?

• 31.4 cm

• 62.8 cm

• 100 cm

• 157 cm

Calculate the length of arc GM rounded to the nearest tenth.

• 1.57 cm

• 2.62 cm

• 5.24 cm

• 7.85 cm

• Select all that apply.

• Which of the following statements are true about the diagram?

• • The measure of ∠EPG is 165°.

• • ∠FPE and ∠GPC are supplementary angles.

• • PA, PB, PC, PF, PG, PM, PE are all equal in length.

• • The area of sector GPC is greater than the area of sector FPE.

Select all that apply.

Which formulas are correctly used to calculate properties of the circle?

The measure of the arc BC is ​ (a)   degrees, and the length of arc AB is ​ (b)   cm.

• 60
• 10.5
• 30
• 5.2
• 52.4
• 27.2

The area of sector FPE rounded to the nearest tenth is _______ cm².

If you want to create a pizza slice that corresponds to sector GPB, and the pizza has the same radius length, the area of your pizza slice rounded to the nearest tenth would be _______ cm².