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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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re(3): Give it a go | Comment 14 of 29 |
(In reply to re(2): Give it a go by nikki)

It's been a good 20 years since I did any calculus, and then it was never for a simple curve like a circle.

I just skimmed through the comments, and think that it still boils down to the building circle inside the dog circle. I wouldn't mess with horns, etc. Before integrating, I would just place both circles at the origin, integrate on quadrant I, get the difference, then multiply by 4.

  Posted by bob909 on 2004-10-29 13:20:40

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