Posted by Anonymous on Thursday, May 3, 2012 at 11:54pm.
a 10m rope allows grazing over 3/4 of a 10m circle
3/4 * π * 100 = 75π
a 20m rope allows grazing over 3/4 of a 20m circle + 1/4 of a 5m circle
3/4 * π * 400 + 1/4 * π * 25 = 306.25 π
a 30m rope allows
3/4 of a 30m circle
+ 1/4 of a 15m circle
+ 1/4 of a 5m circle
you asked where I got the 5.
the 30m rope wraps around the corner at the other end of the 25m side, leaving a 5m section of rope to extend along the short side there.
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