Arc Length and Sector Area

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

FIND THE ARC LENGTH OF THE BOLDED ARC

• A
• B
• C
• D

Tags

CCSS.HSG.C.B.5

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet.  Find the measure of minor arc AB to the nearest degree.

• 90
• 60
• 55
• 113

Tags

CCSS.HSG.C.B.5

A region bounded by two radii of the circle and their intercepted arc is a ....

• arc of a circle
• arc length of a circle
• sector of a circle
• segment of a circle

Tags

CCSS.HSG.C.B.5

The distance along an arc measured in linear units.

• area of a sector
• arc length
• arc of a circle
• sector of a circle

Tags

CCSS.7.G.B.4

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

If the shaded sector's length is 300mm and m∠AOB = 100°, what is this circle's radius?

• 47.7mm
• 79.56mm

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the area of the rest of Pacman's body?

• 161.97mm²
• What's Pacman?
• 39.1mm²