SOLUTION: A small blue goat is tethered to the outside of a large square brown barn with 100 foot sides and all doors closed. The tether is 250 feet long and attaches the goat to one corner

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A small blue goat is tethered to the outside of a large square brown barn with 100 foot sides and all doors closed. The tether is 250 feet long and attaches the goat to one corner       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1121691: A small blue goat is tethered to the outside of a large square brown barn with 100 foot sides and all doors closed. The tether is 250 feet long and attaches the goat to one corner of the barn. The barn is located in the center of a large meadow. How many square feet of meadow are accessible to the goat? You may neglect the length of the goat.
Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52781) About Me  (Show Source):
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the area of a 250’ radius circle
Let +b+ = the area of a 150’ radius circle
Let +c+ = the area of a 50’ radius circle
—————————————————————-
Drawing the picture, I come up with:
Area goat has =
Area goat has = +%283%2F4%29%2Aa+%2B+%281%2F2%29%2Ab+-+%281%2F4%29%2Ac+
You can finish using +A+=+pi%2Ar%5E2+