Question 644576
You are in charge of constructing a fence around the running track at a high school. The fence is to be built around the track so that there is a uniform gap between the outside edge of the track and the fence.
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They should give the length of the track, assume it is 500 meter
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A) What is the maximum width of the gap between the track and the fence if
 no more than 630 meters of fencing is used?
 (Hint: Us the equation for the circumference of a circle)
The gap between the fence and track will be the fence radius - track radius
Using the circumference to find the radii
{{{630/(2*pi)}}} - {{{500/(2*pi)}}} ~ 20 meters
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B) You are charging the school $10.50 for each meter of fencing.
 The school has a $5250 budget to spend on the fence.
 How many meters of fencing can you use with this budget.
{{{5250/10.50}}} = 500, for this price the fence will be right on the
 outside of the track
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C) Explain whether or not it is geometrically reasonable to put up the new fence with the given budget.
Geometrically reasonable, but not practical, you want some area between
 the fence and track