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A121403
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Decimal expansion of the area of home plate (USA major league baseball) in square inches.
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2
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2, 1, 6, 4, 9, 9, 5, 6, 5, 9, 7, 0, 9, 1, 4, 0, 1, 9, 1, 1, 4, 7, 4, 0, 2, 5, 9, 1, 0, 0, 6, 0, 5, 5, 8, 5, 4, 4, 9, 6, 7, 6, 5, 6, 6, 3, 5, 1, 0, 5, 4, 3, 6, 0, 9, 1, 9, 7, 4, 1, 4, 3, 1, 0, 8, 7, 1, 2, 6, 1, 7, 6, 2, 1, 6, 9, 3, 3, 0, 9, 6, 2, 3, 9, 9, 4, 1, 7, 3, 2, 5, 3, 9, 1, 1, 7, 6, 3, 2, 9, 9, 8, 1, 0, 4
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 3,1
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COMMENTS
| The home plate in baseball is an irregular pentagon with edge lengths in inches (8.5, 17, 8.5, 12, 12), incorrectly shown in Kreutzer as having 3 right angles. The area of home plate in square inches is thus the area of the 8.5*17 rectangle plus the area of the (12,12,17) isosceles triangle. The latter is (17/2)*SquareRoot(12^2 - (17^2)/4)) = (17/4)*SquareRoot(287), which is a near integer 71.999565 because the angle is so close to a right angle. Hence the home plate area is approximately 216.49956 square inches, which is coincidently close to (6^3) + 1/2. High-precision calculation by T. D. Noe (noe(AT)sspectra.com) from the exact solution in this comment.
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REFERENCES
| Bradley, M. J. "Building Home Plate: Field of Dreams or Reality?", Math. Mag. 69, 44-45, 1996.
Kreutzer, P. and Kerley, T.,Little League's Official How-to-Play Baseball Book. New York: Doubleday, 1990.
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LINKS
| Eric Weisstein's World of Mathematics, Home Plate
Eric Weisstein's World of Mathematics, Isosceles Triangle
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EXAMPLE
| 216.4995659709.
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CROSSREFS
| Sequence in context: A098697 A193094 A021466 * A155550 A005299 A185586
Adjacent sequences: A121400 A121401 A121402 * A121404 A121405 A121406
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KEYWORD
| cons,easy,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Sep 06 2006
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