Arc Length Application

What is the area of the shaded sector?

• 339.12 in²
• 113.04 in²
• 339.29 in²
• None of the above

Tags

CCSS.HSG.C.B.5

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

Tags

CCSS.HSG.C.B.5

If the radius of this orange is 16mm, what is the area of one section? (Hint: There are 10 congruent sections of the orange.)

• 71mm²
• 80.4mm²
• 31.5mm²
• 31.4cm²

Tags

CCSS.HSG.C.B.5

A pizza has a diameter of 6 inches and is cut into 8 slices. What is the area of each slice?

• 2.36in
• 7in
• 3.53in

Tags

CCSS.HSG.C.B.5

Find the area of the shaded region. Round your answer to the nearest tenth.

• 18.8 units²

• 9.4 units²

• 113.1 units²

• 77.6 units²

Tags

CCSS.HSG.C.B.5

How does the process for finding the arc length differ from the process for finding the sector area?

• The arc length is a degree while the sector area is labeled in square units.
• The arc length uses π while the sector area does not always use π.
• The arc length and sector area are always equal.
• The arc length requires using the circumference while sector area requires the circle area formula.

Tags

CCSS.HSG.C.B.5

A clock face has a diameter of 10 inches. What is the approximate area of the clock face in square inches?

• 314 in²
• 31.4 in²
• 7.85 in²
• 78.5 in²

Tags

CCSS.7.G.B.4

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

Tags

CCSS.HSG.C.B.5

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.

Tags

CCSS.HSG.C.B.5

FIND THE SECTOR AREA OUTLINED IN BOLD

• A

• B

• C

• D

Tags

CCSS.HSG.C.B.5