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

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.C.B.5

Find the area of each sector.

• 6.4 m²

• 7.9 m²

• 9.8 m²

• 11.8 m²

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5

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

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

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

• 5688π ft

• 15.8π ft

• 150.4π ft

• 54,150 ft

Tags

CCSS.HSG.C.B.5

Find the area of each sector.

• 52.4 in²

• 18,864 in²

• 60 in2

• 10.47 in

Tags

CCSS.HSG.C.B.5

FIND THE ARC LENGTH OF THE BOLDED ARC

• A

• B

• C

• D

Tags

CCSS.HSG.C.B.5