Arc Length of a Circle

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 in degrees.

• 47

• 74

• 94

• 123

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5

Find the arc length of the bolded arc. Give your answer in terms of π.

• (65/12)π cm

• 17.02 cm

• (845/24)π cm

• 26π cm

Tags

CCSS.HSG.C.B.5

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, to the nearest foot.

• 40
• 35
• 55
• 69

Tags

CCSS.HSG.C.B.5

Find the length of the minor arc.

• $9\pi$ in.

• $\frac{9}{2}\pi$ in.

• $\frac{1}{8}\pi$ in.

• $64\pi$ in.

Tags

CCSS.HSG.C.B.5

Find the circumference of circle R.

• $108\pi$

• $1200\pi$

• $\frac{3}{4}\pi$

• $30\pi$

Tags

CCSS.HSG.C.B.5

Find the radius of Circle R.

• $4$

• $\frac{45}{2}$

• $45\pi$

• $7$

Tags

CCSS.HSG.C.B.5

The radius of a pizza is 6 inches. What is the length of the crust of a slice if the pizza was cut into 8 slices?

• 2.36 in

• 4.71 in

• 150.8 in

• 301.59 in

Tags

CCSS.HSG.C.B.5

Over 10 minutes, how far on a clock does the tip of a 12-inch minute-hand move?

• 6.28 in

• 7.54 in

• 12.57 in

• 75.4

Tags

CCSS.HSG.C.B.5