SOLUTION: 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 ed
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.
A) What is the maximum width of the gap between the track and the dence if no more than 630 meters of fencing is used? (Hint: Us the equation for the circumference of a circle)
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.
C) Explain whether or not it is geometrically reasonable to put up the new fence with the given budget. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! 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.
:
They should give the length of the track, assume it is 500 meter
:
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 - ~ 20 meters
:
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. = 500, for this price the fence will be right on the
outside of the track
:
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
