Arc and Sector

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.

• 5

• 9

• 8

• 6

Find the length of the arc.

• 31.42cm

• 15.71cm

• 282.74cm

• 23.56cm

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

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.

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

What is the length L called?

• major arc

• tangent

• minor arc

• sector

Match the answers to the following problems.

• Problem 4

• Problem 2

• Problem 3

• Problem 1

Give an example of a major arc

• arc JH

• arc HI

• arc JLH

• arc JL

Find the area of the sector with a measure of 60 degrees and radius of 10in.

• 52.4 in²

• 18,864 in²

• 60 in2

• 10.47 in

Find the area of the sector with a radius of 3m and measure of 150 degrees.

• 4248 m²

• 7.9 m²

• 2827.4 m²

• 11.8 m²