Sectors and Arc Length

Find the arc length of a sector with a central angle of 60 degrees and a radius of 10 meters.

• The arc length = 10π meters

• The arc length = 10π/3 meters

• The arc length = 5π meters

• The arc length = 5π meters

Tags

CCSS.HSG.C.B.5

A Ferris wheel has a radius of 25 meters and rotates through an angle of 120 degrees. What is the distance traveled by a passenger sitting in a gondola?

• Approximately 45 meters

• Approximately 80 meters

• Approximately 30 meters

• Approximately 52.36 meters

Tags

CCSS.HSG.C.B.5

If a pizza has a radius of 12 inches and is cut into 8 equal slices, what is the area of each slice?

• The area of each slice is approximately 24 square inches.

• The area of each slice is approximately 72 square inches.

• The area of each slice is approximately 40 square inches.

• The area of each slice is approximately 56.55 square inches.

Tags

CCSS.HSG.GMD.A.1

A clock has a radius of 6 inches. If the minute hand moves through an angle of 90 degrees, what distance does the tip of the minute hand travel?

• The distance traveled by the tip of the minute hand is 12 inches.

• The distance traveled by the tip of the minute hand is 9π inches.

• The distance traveled by the tip of the minute hand is 3π inches.

• The distance traveled by the tip of the minute hand is 18 inches.

Tags

CCSS.HSG.C.B.5

Calculate the area of a sector with a central angle of 120 degrees and a radius of 15 cm.

• The area of the sector is 225π square cm.

• The area of the sector is 180π square cm.

• The area of the sector is 300π square cm.

• The area of the sector is 150π square cm.

Tags

CCSS.HSG.C.B.5

Find the arc length of a sector with a central angle of 75 degrees and a radius of 12 meters.

• 90π meters

• 5π meters

• 10π meters

• 144π meters

Tags

CCSS.HSG.C.B.5

A race track has a radius of 100 meters and the cars travel through an angle of 45 degrees. What is the distance covered by the cars?

• 145 meters.

• 55 meters.

• 2.22 meters.

• 78.54 meters.

Tags

CCSS.HSG.C.B.5

If a pie has a radius of 10 inches and is cut into 6 equal slices, what is the arc length of each slice?

• 25π/3 inches

• 20π/3 inches

• 15π/3 inches

• 10π/3 inches

Tags

CCSS.HSG.C.B.5

CCSS.HSF.TF.A.1

A wind turbine has a radius of 30 meters and rotates through an angle of 180 degrees. What is the distance traveled by a point on the tip of a blade?

• The distance traveled by a point on the tip of the blade is 0.166 meters

• The distance traveled by a point on the tip of the blade is 210 meters

• The distance traveled by a point on the tip of the blade is 94.25 meters

• The distance traveled by a point on the tip of the blade is 5400 meters

Tags

CCSS.HSG.C.B.5

Tags

CCSS.HSG.GMD.A.1