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2 years ago

9

Geometry area question. Please help!

1 answer:

timurjin [86]2 years ago

5 0

You can calculate polygon area with only apothem OR side length.

apothem only
area = apothem^2 * 6 * tan (180/6)
area = 10.4^2 * 6 * 0.57735
area = 108.16 * <span> <span> <span> 3.4641 </span> </span> </span>
area = <span> <span> <span> 374.677056 </span> </span> </span> square yards

side length only
area = 6 * 12^2 * / 4*tan(30)
area = 864 / 4 * 0.57735
area = 864 / <span> <span> <span> 2.3094 </span> </span> </span>
area = <span> <span> <span> 374.1231488698 </span> </span> </span> square yards

If apothem and side length were given with more precision, the answers would be closer.

Source:
http://www.1728.org/polygon.htm

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