Arc Length and Area Sectors

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

A region bounded by two radii of the circle and their intercepted arc is a ....

• arc of a circle
• arc length of a circle
• sector of a circle
• segment of a circle

Tags

CCSS.HSG.C.B.5

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

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 a sector with an arc length of 30 cm and a radius of 8 cm.

• 240 cm²

• 80 cm²

• 120 cm²

• 180 cm²

Tags

CCSS.HSG.GMD.A.1

What is the area of sector​ GPH?

• 9π yd²

• 32π yd²

• 18π yd²

• 6π yd²

Tags

CCSS.HSG.C.B.5

Find the area of the shaded sector of the circle.

• 
• 
• 
• 

Tags

CCSS.HSG.C.B.5

In a​ circle, a 90° sector has area 64π in². What is the radius of the​ circle?

• 16 in

• 32 in

• 64 in

• 128 in

Tags

CCSS.HSG.C.B.5

An arc is a smaller piece of the...

• Chord
• Center
• Circumference
• Radius

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.A.3

CCSS.HSG.C.B.5

CCSS.HSG.GMD.A.1

What is the ϴ called?

• sector

• segment

• arc

• central angle

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSG.C.A.2

CCSS.HSG.C.B.5