Tuesday, August 20, 2013

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...

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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