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Anonymous Posted 18 years ago
Jokes, Puzzles & Riddles

Need help with a riddle

0A goat is tethered to the outside wall of a circular silo 20 feet in diameter. If the length of the tether is such that it will wind halfway around the silo, how large an area around the silo is the goat able to graze on?02br
02br
00Because the silo is round and a different size then the circle of eating area you can't just use the eating area as half of a circle. My friend says the answer is 2,580 Square Feet of "goat eatin' area", but I do not get that number. Any ideas?0-
  

Top answer

91 sq. feet02b 0-

  • 91 sq.
  • feet02b 0-
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5 Answers
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0I am getting a different number.02br
02br
00Silo has a circumference of 62.8 (20 * 3.14)02br
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00Thether is 31.4 (62.8/2)02br
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00The area of the circle where the goat can feed is 3095.91 (31.4^2)*3.14 minus the area of the silo, which is 314 (10^2)*3.1402br
02br
003095.91 - 314 = 01b002781.91 sq. f
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0 01blockquote
01cite10Akavall12cite10I am getting a different number.12br
12br
10Silo has a circumference of 62.8 (20 * 3.14)12br
12br
10Thether is 31.4 (62.8/2)12br
12br
10The area of the circle where the goat can feed is 3095.91 (31.4^2)*3.14 minus the area of the silo, which is 314 (10^2)*
0
0Good observation! So the correct answer is smaller than mine, which makes 2,580 look like a right answer. I wonder how they got it, though.0-
0
0 Well, surely the goat can then walk one way, half way around the silo, then half way the other way around the silo, meaning he can graze in the entire area. 0-
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0 Since it is a riddle, not a math question, integrating method in math or similar concepts should not be used, IMO. And I can't find a way to solve it. 0-

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