Circle Segment Area and Arc Length

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

Find the area of each sector.

• 6.4 m²

• 7.9 m²

• 9.8 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?

• 6in

• 3in

• 6.8in

• 2.5in

Tags

CCSS.HSG.C.B.5

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

• 161.97 mm²

• 155.37 mm²

• 148.13 mm²

• 142.74 mm²

Tags

CCSS.HSG.C.B.5

What is the ϴ called?

• sector

• arc length

• arc measure

• central angle

The portion inside of the circle

• Area

• Circumference

• Angle

• Arc

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

Find the area of the shaded sector

• 173.42 cm²

• 212.06 cm²

• 237.50 cm²

• not enough information

Tags

CCSS.HSG.C.B.5

What is the length L called?

• circumference

• tangent

• arc

• sector

What is the green area called?

• sector

• segment

• arc

• section