document.write( "Question 102269: I really need help understanding how to work this word problem out.\r
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document.write( "If there is a goat tied to a rectangular barn on a 50 foot lead and the barn is 20 feet by 20
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document.write( "feet (floor), what is the maximum grazing area? If there are regions you can't find the area of,
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document.write( "provide as good an estimate as you can. Assume the goat is tied to a corner outside the barn,
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document.write( "cannot get in, and that the barn is not grazing area. (Remember, this will be based on parts of
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document.write( "circles, no other shapes...the goat's rope will only get shorter when he tries to go around the
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document.write( "barn...)
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document.write( "6. How much of the 50 foot circle can the goat reach without getting interrupted by the barn?
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document.write( "What is that area?
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Algebra.Com's Answer #74317 by edjones(8007)![]() ![]() You can put this solution on YOUR website! I'll answer the 2nd question 1st. \n" ); document.write( "It can graze 3/4 of a circle with a 50' radius. \n" ); document.write( "That area = pi*50^2= 2500*pi*(3/4)= 1875*pi \n" ); document.write( "Of the area not covered it has two 1/4 circles= 1 semicircle with a radius of 30' that area = pi*30^2*.5= 450*pi. \n" ); document.write( "1875*pi + 450*pi = 2325*pi sq. ft. \n" ); document.write( "Ed \n" ); document.write( " |