Circles: Arc Length & Sector Area

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.HSF.TF.A.1

CCSS.HSG.C.B.5

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

• 5
• 9
• 8
• 6

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

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 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

is the formula for?

• arc length
• area of a sector
• area of a segment
• arc measure

Tags

CCSS.HSG.C.B.5

What is the area of the shaded sector?

• 145.31 cm²
• 20.76 cm²
• 581.25 cm²
• 470.13 cm²

Tags

CCSS.HSG.C.B.5

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

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

You stop for lunch at a local pizza shop where each pizza is cut into 8 slices.  Would your hunger be better satisfied with one slice from a 16 inch pizza or two slices from a 12 inch pizza

• One Slice
• Two Slices

Tags

CCSS.7.G.B.4

CCSS.7.G.B.6

CCSS.7.RP.A.2