Length of Arcs, Area of Sectors

What is the distance marked off by L called?

• circumference

• tangent

• arc length

• sector

Find the length of the bold arc.

• 61.3ft

• 20.4ft

• 7351.3ft

• 22,068ft

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

What is the area of the shaded sector?

• 40π/9 (13.96)

• 400π/9 (139.6)

• 80π/9 (27.9)

• 1600π/9 (558.5)

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 4

• Problem 2

• Problem 3

• Problem 1

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

• 26

• 452.39

• 113.10

• 40715.04

What is the green area called?

• sector

• segment

• arc

• section

What is the area of the shaded region?

• 50.27 units²

• 3015.93 units²

• 8.38 units²

• 4.19 units²

What is the length of the green arc?

• 1.6 mi

• 6.3 mi

• 3.1 mi

• 12.6 mi