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Converting gradients - % to degrees to ratios

  1. #1
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    Converting gradients - % to degrees to ratios

    Hi all,

    I have done a search but couldn't find anything that helped.

    I am trying to work out how to convert the slope/gradient from degrees to %, and ratio.

    Any hints on how to write the equation?
    Last edited by The Big Galoot; 02-18-2009 at 05:27 PM.

  2. #2
    Forum Expert martindwilson's Avatar
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    Re: Converting gradients - % to degrees to ratios

    do you want to convert say 45 degrees slope to a ratio/percent?
    if so
    Degrees of slope/90 x 100 will give % 45/90 =1/2 i.e 1 in 2
    if you have the analysis toolpak activated
    then as a ratio try
    =A1/GCD(A1,B1) &":"& B1/GCD(A1,B1)
    when a1=1 b1=2 result is 1:2
    where a1 is numerator b1 denominator
    Last edited by martindwilson; 02-13-2009 at 08:14 PM.

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    Re: Converting gradients - % to degrees to ratios

    45 degree slope is 1:1, or 100%

    I have a list of degrees in a spreadsheet such as:
    1
    2
    3
    4
    to
    45

    I am trying to work out the excel formula for converting this column (degrees) to both a % and a ratio.

  4. #4
    Forum Expert martindwilson's Avatar
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    Re: Converting gradients - % to degrees to ratios

    oops my mistake 1 in 1 is 45 degrees. and thats considered as a 100% slope
    but degree of slope say 2:4 is
    arc tangent(.5) = 26.565 degrees
    Last edited by martindwilson; 02-13-2009 at 08:40 PM.

  5. #5
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    Re: Converting gradients - % to degrees to ratios

    If A1 has the slope in degrees, then

    =tan(radians(a1))

    Format as percent to see percent, or as a fraction to see a ratio.
    Entia non sunt multiplicanda sine necessitate

  6. #6
    Forum Expert martindwilson's Avatar
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    Re: Converting gradients - % to degrees to ratios

    try
    =TAN(A1*0.0174532925 ) where a1 is degrees

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    Re: Converting gradients - % to degrees to ratios

    Quote Originally Posted by shg View Post
    =tan(radians(a1))
    That worked a treat, thanks shg.

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    Re: Converting gradients - % to degrees to ratios

    You’re welcome. Would you be so kind as to mark the thread as Solved?

    Click the Edit button on your first post in the thread

    Click Go Advanced, select [SOLVED] from the Prefix dropdown, then click Save Changes

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