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Formulas for Golden Ratio

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    Wink Formulas for Golden Ratio

    I am looking for Golden Ratio formulas. Google searches only provide width from known height or height from known width.

    Instead, what I want to calculate is:
    1. width from known area
    2. height from known area


    (For more information on Golden Ratio, try google or the websites below:
    http://elliotwaite.com/golden-ratio-calculator/
    http://www.mathsisfun.com/numbers/golden-ratio.html
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    HELP WANTED! (Links to Forum threads)
    Trying to create reusable code for Custom Events at Workbook (not Application) level

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    Re: Formulas for Golden Ratio

    Hopefully this is right.
    For width from a known area use:
    =SQRT(A1*((1+SQRT(5))/2)^3)/((1+SQRT(5))/2), where A1 is the known area
    For height from a know area use:
    =SQRT(A1*((1+SQRT(5))/2)^3)/((1+SQRT(5))/2)^2

    I have used (1+Sqrt(5))/2 to calculate phi, if you have the value in a cell elsewhere you may want to substitute it out

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    Re: Formulas for Golden Ratio

    Thanks Nigel +1

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    Re: Formulas for Golden Ratio

    1. W/H = 1.618
    2. W = 1.618 H
    3. A = W * H

    Therefore, A = 1.618H2
    & H = SQRT(A/1.618),
    & W = SQRT(1.618 * A)
    Ben Van Johnson

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    Re: Formulas for Golden Ratio

    ... or you could not over complicate it like me and use protonLeah's formula...

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