Arc Length and Sector Area Applications

The distance along an arc in linear units.

• area of a sector

• arc length

• arc measure

• segment of a circle

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

• 9.2 units

• 8.8 units

• 8.4 units

• 8.1 units

Find the area of each sector.

• 6.4 m²

• 7.9 m²

• 9.8 m²

• 11.8 m²

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

In a​ circle, a 90° sector has area 64π in². What is the radius of the​ circle?

• 16 in

• 32 in

• 64 in

• 128 in

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the area of the rest of Pacman's body?

• 161.97 mm²

• 155.37 mm²

• 148.13 mm²

• 142.74 mm²

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

• 7/4π

• 7/2π

• 1/8π

• 45π

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