by technios on January 14th, 2009

technios

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How many significant figures do you want for an equation that finds the area of an octagon?

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Answers. 4 helpful answers below.

  • by yeroco on January 14th, 2009

    yeroco

    If we are talking about mathematical octogons (not real ones, like stop signs), it shouldn't be rocket science to create an equation with infinite precision.

    So my answer is infinity :)

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  • by Aksafari on January 14th, 2009

    Aksafari

    2

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  • by Alison on January 14th, 2009

    Alison

    doesn't it depend on how many decimal points where in the question?

  • by WarHorseLeBron on May 14th, 2011

    WarHorseLeBron

    The formula for finding the area of a triangle, square, pentagon, etc is

    A = (NL²/4)cot(180°/N)

    Where A = area
    N = number of sides (8)
    L = length of one side

    For example, if we used an equilateral triangle and chose L = 2, we could use basic math to show that

    A = (1)(√3) = √3

    Use our formula

    A = 3(4)/4*cot(60°) = 3cos(60°)/sin(60°) = 3[(1/2)/(√3/2)] = 3/√3 = √3

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