The diameter of the wheels on your car (including the tires) is 25 inches. You are going to drive 305 miles today. Each of your wheels is going to turn by an angle of how many degrees.

3 answers

Tire circumference (C) = pi*D = 78.54 inches

Distance travelled (X) = 305*5280*12
1.932*10^7 inches

Number of tire revolutions = X/C = ___

Multiply that by 360 for the number of degrees.
88578151.26
I know I'm years late but I'd like to help those who are taking math this year.

In order to solve this problem we need two things, the circumference of the circle and the distance we are driving in relation to our given units (in this case inches)

Circumference can be solved using the formula C=2πr. Doing this we get 78.5394 Inches.

To get the distance traveled we must multiply the number of inches in a mile (63360) by the amount of miles we're traveling (In this case 305) like so: 63360*305= 1.932e+7 Inches (19,320,000)

Next, we want the amount of times the car wheel will revolve. To do this simply divide the circumference by the total distance traveled like so:
19,320,000/78.5394 = 245991.184043

Finally, to solve the amount of degrees of rotation you simply multiply this number by 360° for the amount of degrees in a circle to get your final answer of:
88,556,826.2554°
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