Review Activity: 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.HSF.TF.A.1

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.HSF.TF.A.1

CCSS.HSG.C.B.5

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.  Express answer to thenearest tenth of a square unit.

• 0.3 square units
• 15.7 square units
• 19.7 square units
• 50.3 square 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.

• 9.2 sq. in.
• 10.5 sq. in.
• 31.4 sq. in.
• 38.2 sq. in.

Tags

CCSS.HSG.C.B.5

CCSS.HSG.GMD.A.1

Find the measure of arc AB.

• 17
• 34
• 68
• 146

Tags

CCSS.HSG.C.B.5

Find the area of each sector.

• 52.4 in²
• 18,864 in²
• 60 in2
• 10.47 in

Tags

CCSS.HSG.C.B.5

CCSS.HSG.GMD.A.1

Find the area of each sector.

• 4248 m²
• 7.9 m²
• 2827.4 m²
• 11.8 m²

Tags

CCSS.HSG.C.B.5

If the length of the 45° region of this circle is 10 inches, what is the radius of the circle?

• 1.6in
• 3in
• 6.8in
• 2.5in

Tags

CCSS.HSG.C.B.5

Find the area of the shaded sector of the circle.

• 
• 
• 
• 

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.HSF.TF.A.1

CCSS.HSG.C.B.5