Question 1173312
an enclosure is to be constructed having part of its boundary along an existing straight wall.
 the other part of the boundary is to be fenced in the shape of an arc of a circle.
 if 100m of fencing is available, what is the area of the largest possible enclosure? into what fraction of the circle is the fence bent?
:
I think the greatest area would be if the fence was shaped in a semi-circle with the wall. 
Find the radius of a semicircle with an arc length of 100
{{{pi*r}}} = 100
r = {{{100/pi}}}
find the area of a circle with this radius
A = {{{pi*(100/pi)^2}}}
A = {{{pi*(100^2/pi^2)}}}
for a semicircle (cancel pi)
A = {{{1/2}}}*{{{100^2/pi}}}
A = 1591.55 sq/meters