Review Circumference Applications

1. Circumference

100

If the diameter of a circle is 10 cm, calculate the circumference and round to the nearest tenth of a cm.

31.4 cm

200

If the radius of a circle is 3 cm, calculate the circumference. Round to the nearest tenth of a cm.

18.8 cm

300

If the circumference of a circle measures 50 ft, calculate the diameter of the circle. Round to the nearest tenth of a foot.

15.9 ft

400

If the circumference of a circle measures 100 miles, calculate the radius. Round to the nearest tenth of a mile.

15.9 miles

500

If the area formula of a circle is A = pi r², and the circumference of a circle is 8 inches, calculate the area. Round to the nearest tenth of an inch.

5.1 inches

2. Arc Length

100

Calculate the arc length of an arc whose circle has diameter is 10 cm and whose central angle measures 200 degrees. Round to the nearest tenth of a cm.

17.5 cm

200

Calculate the arc length of an arc of a circle whose circumference measures 40 cm and the central angle measures 45 degrees.

5 cm.

300

Calculate the radius of an arc whose central angle measures 120 degrees and whose arc length measures 12 cm. Round to the nearest tenth.

5.7 cm

400

Calculate the central angle measure of an arc whose length is 16 ft and whose radius is 9 ft. Round to the nearest tenth of a degree.

101.9 degrees

500

Calculate the distance the second hand travels in 20 seconds if the length of the hand is 5 cm. Round to the nearest tenth of a cm.

10.5 cm

3. Distance and revolutions

100

Calculate the distance a hula hoop travels that has a diameter of 4 ft and rotates 11 times. Round to the nearest foot.

138 ft.

200

How far have you traveled on a Ferris wheel if you completed 4 rotations and the diameter is 120 feet. Round to the nearest foot.

1508 ft

300

How many times did a hula hoop rotate if its diameter is 3 ft and it rolled 80 ft. Round to the nearest tenth of a rotation.

8.5 rotations

400

Calculate the radius of a tire that took 400 rotations to travel 5000 ft. Round to the nearest foot.

2 ft

500

How many miles did Brad run if he ran around a circular field with a diameter of 100 ft 40 times? Round to the nearest tenth of a mile.

2.4 miles

4. Linear and Rotational Speed

100

Calculate the speed of a car that travels 300 miles in 6 hours. Express your answer in miles per hour.

50 mi/h

200

Calculate the rotational velocity of a tire that rotated 60 times in 3 minutes. Express your answer in rpm. 

20 rpm.

300

Calculate your linear speed on a carousel that has a diameter of 20 ft that rotates 6 times in 8 minutes. Write your answer as ft per minute. Round to the nearest tenth.

47.1 ft/min

400

Calculate the rotational velocity if you are on a carousel that rotated 8 times in 4 minutes. Express your answers as rotations per hour. 

120 rotations per hour

500

Calculate the diameter of a Ferris wheel that is rotating at a speed of 600 ft/min and made 6 revolutions in 4 minutes. Round to the nearest foot.

127 ft

5. Dimensional Analysis

100

Convert 1.2 miles to inches. (There are 5280 ft in a mile and 12 inches in a ft).

76302 inches

200

Convert 4.5 rotations to degrees (remember there are 360 degrees in a full rotation). 

1620 degrees

300

Convert 8 revolutions per minute to revolutions per hour. 

480 revolutions per hour.

400

Convert 20 miles per hour to ft per second (5280 ft = 1 mi) Round to the nearest tenth.

29.3 ft/s

500

Convert 50 km per day to cm per second. Round to the nearest whole.

58 cm per second