A bicycle tire has a radius of 8 inches. How many feet will the bicycle travel after 15 resolutions of the tire? Use 3.14 for pi.
Use to formula C=2(PI)r
C=2(3.14)8
C=6.28(8)
C=50.24
Then multiply the circumference by 15.
50.24x15=753.6in
The because since your answer is in inches you must now convert it to feet.
753.6in= 62.8 feet
Therefore, your answer is 62.8 ft.
Hope this helped!
How do you solve this problem?
To find the distance the bicycle will travel after 15 revolutions of the tire, we need to calculate the circumference of the tire and then multiply it by the number of revolutions.
The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
Given that the radius of the bicycle tire is 8 inches, we can substitute this value into the formula:
C = 2 * 3.14 * 8
C ≈ 50.24 inches
Now, to convert the distance from inches to feet, we divide the number of inches by 12, since there are 12 inches in a foot:
50.24 inches / 12 ≈ 4.18 feet
Therefore, for one revolution of the tire, the bicycle travels approximately 4.18 feet.
To find out how many feet the bicycle will travel after 15 revolutions, we multiply the distance for one revolution by the number of revolutions:
4.18 feet * 15 = 62.7 feet
Thus, the bicycle will travel approximately 62.7 feet after 15 revolutions of the tire.
use the definition of pi
C = pi d
So, in one revolution, the tire moves a length equal to the circumference of the tire.
After 15 revolutions, the distance is
pi * d * 15 = 120 pi inches = 10 pi ft = 31.4 ft