Finding Radius from 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

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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

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CCSS.HSG.C.B.5

What is the area of sector​ GPH?

• 9π yd²

• 32π yd²

• 18π yd²

• 6π yd²

Tags

CCSS.HSG.C.B.5

• Name the circle: Circle B
• Name the circle: Circle DE
• Name the circle: Circle A
• Name the circle: Circle DBC

Match the answers to the following problems.

• Problem 4

• Problem 3

• Problem 2

• Problem 1

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CCSS.HSG.C.B.5

The diagram shows a sector of a circle of radius 4 units, formed from an angle of size 135°.

Find the length of the arc rounded to two decimal places.

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.B.5

Determine the radius of the penny

• 59.66 mm

• 9.5 mm

• 38 mm

• 119.32 mm

Tags

CCSS.7.G.B.4

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the exact area of the rest of Pacman's body?

• (464/9)π mm²

• (112/9)π mm²

• (116/9)π mm²

• (28/9)π mm²

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