your bike tire has a radius of 14 inches. If your tire makes 100 revolutions, how many feet does your bike travel?
To determine how many feet your bike travels, you need to calculate the circumference of the tire.
The formula for the circumference of a circle is C = 2πr, where "C" is the circumference, "π" is a mathematical constant approximately equal to 3.14159, and "r" is the radius of the circle.
Given that your bike's tire radius is 14 inches, we can substitute this value into the formula:
C = 2π × 14 inches
Now, let's calculate the circumference:
C = 2 × 3.14159 × 14 inches
C ≈ 87.9646 inches (approximately)
Since there are 12 inches in a foot, we can convert inches to feet by dividing the circumference by 12:
C ≈ 87.9646 inches ÷ 12 inches/foot
C ≈ 7.33 feet (approximately)
Since the tire makes 100 revolutions, to calculate the total distance covered by the bike, we multiply the circumference by the number of revolutions:
Total distance = C × number of revolutions
Total distance = 7.33 feet/revolution × 100 revolutions
Total distance ≈ 733 feet (approximately)
Therefore, if your bike tire has a radius of 14 inches and it makes 100 revolutions, your bike will travel approximately 733 feet.