Arc Length and Sector Area Applications

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

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer as an exact value

• 5π/3

• 10π/3

• 10π

• 40π

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

• 8π/3

• 2π/3

• 32π/3

• 4π/3

What is the area of the shaded sector?

• 221π/36

• 3757π/72

• 3757π/18

• None of these

The diagram shows a sector of a circle of radius 4 units, formed from an angle of size 135°.

Find the length of the arc rounded to two decimal places.

Mathematical Equivalence

ON

Match the answers to the following problems.

• Problem 1

• Problem 2

• Problem 3

• Problem 4

What is the area of the shaded sector?

• 40π/9

• 400π/9

• 80π/9

• 1600π/9

Find exact length of the un-shaded part of the circle.

Which of the following formulas calculates the arc length of a circle? (Select ALL that apply.)

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