The largest area you can enclose by any length of fencing is a square.
So if you have a length of fencing, each side of the square will have length , so the area of the square is .
There is a wall in your backyard. It is so long that you can’t see its endpoints. You want to build a fence of length L such that the area enclosed between the wall and the fence is maximized. The fence can be of arbitrary shape, but only its two endpoints may touch the wall.
given : the length of the fence.
the wanted solution : the largest area. Your answer should be rounded to 2 digits after the decimal point.
eg :
1 -> 0.16
hints : take pi as 3.14159265358.
i want help to find the formula to answer this
Hello, mido22!
Pay no attention to the man behind the curtain . . .
There is a wall in your backyard. It is so long that you can’t see its endpoints.
You want to build a fence of length L such that the area enclosed between
the wall and the fence is maximized. The fence can be of arbitrary shape,
but only its two endpoints may touch the wall.
A semicircular region has maximum area.
Code:r r ----*---------*---------*---- * * * * * * * * * * * L
We have: .
The area is: .