How many feet does a wheel with a diameter of 18 inches travel in 9 revolutions?
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To find the distance traveled by a wheel with a diameter of 18 inches in 9 revolutions, we need to know the circumference of the wheel. The circumference of a circle is calculated using the formula C = πd, where C represents the circumference and d represents the diameter.
First, we can substitute the given diameter (18 inches) into the formula to find the circumference: C = π × 18 inches.
The value of π (pi) is approximately 3.14, so we can approximately calculate the circumference: C ≈ 3.14 × 18 inches.
By using a calculator, we can find that the approximate circumference of the wheel is 56.52 inches.
Since one revolution of the wheel accounts for traveling its circumference, we can calculate the total distance traveled in 9 revolutions by multiplying the circumference by the number of revolutions:
Total distance = Circumference × Number of revolutions
= 56.52 inches × 9 revolutions
= 508.68 inches.
Therefore, a wheel with a diameter of 18 inches will travel approximately 508.68 inches in 9 revolutions.
the circumference (distance around the wheel) is ... diameter * π
the wheel rolls on the circumference
... so it travels one circumference for each revolution
travel = diameter * π * revolutions
12 inches in a foot