Area of a Sector to Arc Length

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

• 7/4π

• 7/2π

• 1/8π

• 45π

FIND THE SECTOR AREA OUTLINED IN BOLD

• A

• B

• C

• D

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

Find the length of the bold arc.Leave pi in your answer.

• 5688π ft

• 15.8π ft

• 150.4π ft

• 54,150 ft

Find the area of each sector.

• 52.4 in²

• 18,864 in²

• 60 in2

• 10.47 in

FIND THE ARC LENGTH OF THE BOLDED ARC

• A

• B

• C

• D

FIND THE ARC LENGTH OF THE BOLDED ARC

• A

• B

• C

• D

If the length of the 45° region of this circle is 10 inches, what is the radius of the circle?

• 6in

• 3in

• 6.8in

• 2.5in

Given that m∠AOB = 13π/18 and the radius is 8 cm, what is the length of arc AB?

• 13π/8 cm

• 52π/9 cm

• π/9 cm

• 9π/52

Find the area of a sector with an arc length of 30 cm and a radius of 8 cm.

• 240 cm²

• 80 cm²

• 120 cm²

• 180 cm²