A car wheel has a 14 inch-radius. through what angle(to the nearest tenth of a degree) does the wheel turn when the car rolls forward 2 ft? the answer should be 98.2 degree, i just wanna know the solution steps

Expert Answers

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What you have to do to get to this answer is to use the formula for the circumference of a circle.  Once you have that, you need to know what percent of the circumference of the wheel is represented by 2 feet.  Given that, you then need to multiply that percent by the number of degrees in a circle.  Here are the steps:

The circumference of a circle is equal to pi times the diameter.  Since the radius is .5 of the diameter, the radius here is 28 inches.

28*3.14 = 87.92.

Now divide 24 inches (2 feet) by this circumference.

24/87.92 = .27

So 2 feet is .27 of the circumference.

There are 360 degrees in a circle.

360*.27 = 98.2

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