Unit 10: Circles - Homework 3: Arc Lengths

Round to the nearest hundredth.

1. Find the length of the bolded arc in the circle with a radius of 7.5 inches and a central angle of 35°.

• 4.58 inches

• 5.12 inches

• 4.59 inches

• 5.14 inches

Find the length of the bolded arc in the circle with a radius of 4 cm and a central angle of 118°.

• 8.24 cm

• 9.24 cm

• 16.89

• 11.24 cm

Find the length of the bolded arc in the circle with a radius of 26 m and a central angle of 57°.

• 68.75 m

• 137.50 m

• 25.87 m

• 12.93 m

4. If TR = 11 ft, find the length of arc PS.

• 31.49 ft

• 164 ft

• 14.7 ft

• 3.07 ft

5. If MK = 10 m, find the length of arc MKL.

• 218 m

• 19.02 m

• 38.05 m

• 31.42 m

6. If YV = 28 in, find the length of arc YVX.

• 87.48 in

• 174.95 in

• 76.32 in

• 180 in

7. If AF = 23 cm, find the length of arc EC.

• 23.42 cm

• 25.00 cm

• 37.33 cm

• 30.00 cm

8. The minute hand on a clock is 9 centimeters long and travels through an arc of 252° every 42 minutes. To the nearest tenth of a centimeter, how far does the minute hand travel during a 42-minute period?

• 39.6 cm

• 40.2 cm

• 41.5 cm

• 42.3 cm

A Ferris wheel has a diameter of 225 feet. If a passenger gets in a car and travels 38 feet when the wheel stops to let more passengers on, find the angle of rotation to the nearest degree.

• 10°

• 19°

• 30°

• 40°