Arc Length and Sector Area Word Problems

FIND THE ARC LENGTH OF THE BOLDED ARC

• A

• B

• C

• D

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

What is the area of sector​ GPH?

• 9π yd²

• 32π yd²

• 18π yd²

• 6π yd²

Find the area of the shaded sector of the circle.

• 
• 
• 
• 

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

Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.

• 9.2 sq. in.

• 10.5 sq. in.

• 31.4 sq. in.

• 38.2 sq. in.

What is the area of the shaded region? Round to the nearest hundredth.

• 26

• 452.39

• 113.10

• 40715.04

Find the arc length of the circle. (Leave answers in terms of . Do not round your answer.)

Find the arc length of the circle. (Round your answer to the nearest tenth.)

• 42.4 m

• 21.2 m

• 84.8 m

• 6.7 m

What is the area of the shaded sector?

• 40π/9

• 400π/9

• 80π/9

• 1600π/9