Arc Length and Sector Area Using Radians

A sprinkler system is set up to water the sector shown in the accompanying diagram, with angle ABC measuring 1 radian and radius AB = 20 feet. What is the length of arc AC, in feet?

• 63

• 31

• 20

• 10

Tags

CCSS.HSG.C.B.5

Jack wants to plant a border of flowers in the shape of an arc along the edge of a circular walkway. If the circle has a radius of 5 yards and the angle subtended by the arc measures 1.5 radians, what is the length, in yards, of the border (arc length)?

• .5

• 2

• 5

• 7.5

Tags

CCSS.HSG.C.B.5

Tags

CCSS.HSG.C.B.5

Tags

CCSS.HSF.TF.A.1

Tags

CCSS.HSG.C.B.5

Match the answers to the following problems.

• Problem 2

• Problem 3

• Problem 1

• Problem 4

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 ARC LENGTH OF THE BOLDED ARC

• A

• B

• C

• D

Tags

CCSS.HSG.C.B.5

s=r\theta is the formula for

• arc length

• angular speed

• linear speed

• area of a circle sector

Tags

CCSS.HSG.C.B.5

Find the arc length.  Leave your answer in terms of π.

• 7/4π

• 7/2π

• 1/8π

• 45π

Tags

CCSS.HSG.C.B.5