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The Watchdog (Posted on 2004-10-28) Difficulty: 5 of 5
A watchdog is tied to the outside wall of a round building 20 feet in diameter. If the dog's chain is long enough to wind half way around the building, how large an area can the watchdog patrol?

See The Solution Submitted by Erik O.    
Rating: 3.4000 (5 votes)

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Solution Solution? | Comment 7 of 29 |

I agree with the semi-disc area : 50 Pi^3

My horns sum to (100Pi^3)/3-100Pi.

So I am getting a total area of about 2269.7 ft^2. hmmm ... this is in the ballpark of the CeeAnn estimate, but I am putting no guarantees.

Side Comment: It is probably a bad idea to use degrees in any form of calculus, as most of the polar formulas and such depend upon the clever definition of radian. I have learned this the hard way a few times. :-)


  Posted by owl on 2004-10-28 16:48:15
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