Question 149254
Find the total grazing area of a goat G, The animal is tied to a corner of a 40'x40' barn, by an 80' rope. One of the sides of the barn is extended by a fence. assume that the area is grass everywhere except inside of the barn.
;
The side that is extended by the fence will make a difference
:
If the fence is opposite the corner, where the rope is tied, then is will not effect it.
:
The larger area is {{{3/4}}} of circle with 80' radius
A = {{{pi*80^2*.75}}}
A = 15079.6 sq/ft
and
2 each {{{1/4}}} circles with a radius of 40'
A = {{{pi*40^2*.25*2}}}
A = 2513.3 sq/ft
:
Total: 15079.6 + 2513.3 = 17,593 sq/ft