Arc Length and Sector Area

Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

• 47
• 74
• 94
• 123

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 area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express your 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.

Find the length of the bold arc. Leave your answer in terms of pi.

• 5688π feet

• 15.8π feet

• 150.4π feet

• 54,150 feet

Find the area of the sector.

• 52.4 in²

• 18,864 in²

• 60 in²

• 10.47 in

Find the area of the sector.

• 4248 m²

• 7.9 m²

• 2827.4 m²

• 11.8 m²

Given that m∠AOB = 13π/18 radians, and the radius is 8 cm, what is the length of arc AB?

• 13π/8 cm

• 52π/9 cm

• π/9 cm

• 9π/52

What is the area of sector​ GPH?

• 9π yd²

• 32π yd²

• 18π yd²

• 6π yd²

Tags

CCSS.HSG.C.B.5

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, Gizmo, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between his dog house and his favorite hydrant is 165 degrees. What is the length of the arc from his dog house to the hydrant, following minor arc DG, to the nearest foot.

• 40

• 35

• 55

• 69