Finding Arc Length and Area of a Sector

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 arc length.  Leave your answer in terms of π.

• 7/4π
• 7/2π
• 1/8π
• 45π

Tags

CCSS.HSG.C.B.5

Find the arc length.

• 37.70 cm
• 6.28 cm
• 28.27 cm
• 9.42 cm

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 area of the shaded sector.

• 37.70 cm²
• 6.28 cm²
• 28.27 cm²
• 9.42 cm²

Tags

CCSS.HSG.C.B.5

What is the area of the shaded region? Round to the nearest hundredth. (Hint: Area of a triangle is 1/2*b*h)

• 78.53

• 314.16

• 28.54

• 58.54

Find the area of the shaded region.

• 125.7 cm²

• 40 cm²

• 103.7 cm²

• 33 cm²

Find the area of the dark blue sector shown at the left. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.

• 0.3 square units

• 15.7 square units

• 19.7 square units

• 50.3 square units

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

A cathedral window is shown. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section?  Express answer to the nearest square foot.

• 1 sq. ft
• 13 sq. ft
• 3 sq. ft
• 26 sq. ft

Tags

CCSS.HSG.C.B.5