A street is 282 m long is covered with snow. City workers are using a snowplow to clear the street. A tire on the snowplow has to turn 47 times in traveling the length of the street. What is the diameter of the tire?

Question

A street is 282 m long is covered with snow. City workers are using a snowplow to clear the street. A tire on the snowplow has to turn 47 times in traveling the length of the street. What is the diameter of the tire?

Answer 1

282/47 = 6

C = pi*d

6 = 3.14d

6/3.14 = d

1.911 = d

Answer 2

To find the diameter of the tire, we need to use the formula for calculating the circumference of a circle. The formula is:

Circumference = π * diameter

First, let's determine the distance traveled by the tire in one revolution. We know that the street is 282 meters long, and the tire turns 47 times to travel this distance. Therefore, the distance traveled in one revolution is:

Distance per revolution = 282 meters / 47 revolutions

To calculate the circumference, we need to divide the total distance per revolution by the number of times the tire turns:

Circumference = Distance per revolution / Number of turns

Since we have already calculated the distance per revolution, we can substitute that value into the formula:

Circumference = (282 meters / 47 revolutions) / 47

Now we can solve for the circumference:

Circumference = 282 meters / (47 revolutions * 47)

To find the diameter, we need to divide the circumference by π:

Diameter = Circumference / π

Therefore:

Diameter = (282 meters / (47 revolutions * 47)) / π

Now, let's calculate the diameter using the formula:

Diameter = (282 meters / (47 revolutions * 47)) / 3.14159

Please note that the value of π used in this formula is an approximation. When you compute the expression, the result will give you the diameter of the tire.