So we would have..
2(x+pi*r)=200
(x+pi*r)=100
r=(100-x)/pi
and after plugging it into A=2rx we would have the answer of...
A= 2x((100-x)/pi)
For part 2,
I believe we take the first derivative of A= 2x((100-x)/pi), set it to 0 and solve for x.
We would end up with x=50m.
I just don't...
An athletic field is to be built in the shape of a rectangle x m long capped by semicircular regions of radius r m at the two ends. The field is to be bounded by a 200 m racetrack.
Express the area of the rectangular portion of the field as a function of x alone.
What value of x gives the...