Arc Length and Sector Area

Find the length of the arc.

• 31.42cm

• 15.71cm

• 282.74cm

• 23.56cm

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

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.

• 60
• 45
• 63
• 81

Find the arc length of arc AB.

• 12.57 units
• 75.40 units
• 24 units
• 125.66 units

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.

• 25.2 in²

• 28.5 in²

• 31.4 in²

• 38.2 in²

If Pacman's mouth is open to 70° and the radius of his mouth is 8mm, what is CENTRAL ANGLE MEASURE of his Body?

• 290^o

• 270^o

• 180^o

• 110^o

Tags

CCSS.HSG.C.A.2

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of EQUAL SIZE, what is the area of the YELLOW SECTOR?

• 3.3 ft²

• 4.5 ft²

• 6.3 ft²

• 7.1 ft²

Find the Area of the Sector.

• 62.8 ft 

• 230.79 ft 

• 188.92 ft 

• 65.42 ft