document.write( "Question 131013: A cow is tethered to one corner of a square barn, 10 feet by 10 feet, with a rope 100ft long. What is the maximum grazing area for the cow. I know that the answer is 31,145.15 ft squared. I figured out that the left side of the circle has an area of 49348feet. the other semicircular shape - it is not a true semicircle- is split up into three four areas. a quarter circle on the bottom right, sector on the upper right a sector on the right side and a triangle between those two sectors.
\n" ); document.write( "please show all your work.
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Algebra.Com's Answer #95690 by checkley71(8403) $\"\"$ $\"About$

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Question???? Is the cow inside or outside of the barn?
\n" ); document.write( "We'll assume it is outside the barn because the inside is too easy.
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\n" ); document.write( "First we have an area that is 3/4 of a circle with a radius of 100 ft.
\n" ); document.write( "area=(3.14*100^2)*3/4=(3.14*10,000)*3/4=31,400*3/4=23,550 ft^2.
\n" ); document.write( "now we have a quarter circle with a raduis of 90 ft.
\n" ); document.write( "area=(3.14*90^2)/4=(3.14*8,100)/4=25,434/4=6,358.5 ft^2.
\n" ); document.write( "as an esimate of the remaining 2 slivers of 5*80+5*90=400+450=950 ft^2 (minus a tad)
\n" ); document.write( "adding up these pieces I get 23,550+6,358.5+950=30,858.5 ft^2 (minus the tad)\r
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