Understanding and applying theorems and properties about circles

What is the measure of arc AB?

• 140
• 142
• 180
• 153

Rob is trying to open a can. He wants to find the arc length the can opener needs to travel to open the can half way. The radius of the can is 1.5 inches.

• 10 inches

• 2 feet

• 4.71 inches

• 3.53 inches

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG.

• 40π feet
• 35π feet
• 11π feet
• 22π feet

What is the arc length of arc XY?

• 5.5π
• 4π
• 8π
• 2π

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find, to the nearest degree, the measure of minor arc RN.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47^o

• 74^o

• 94⁰

• 123⁰

Find the measure of the

 $arc\ \overline{DC}$  .
(click image to enlarge)

• 124º

• 62º

• 31º

• 360º

Find the measure of arc AB.

• 17 degrees

• 34 degrees

• 68 degrees

• 146 degrees

Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47
• 74
• 94
• 123

Find the length of the Major Arc. Leave your answer in terms of π.

• 17.5π

• 3.5π

• 12.5π

• 24.5π