Infrastructure Calculator

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Calculating a Slope Gradient

Slope gradients are written as Y:X, where Y is a single unit in rise and X is the run.  Both numbers must use the same units.  For instance, if you travel 3 inches vertically and 3 feet (36 inches) horizontally, the slope would be 3:36 or 1:12.  This is read as a "one in twelve slope."

Calculating the Slope Percentage

Slope percentage is calculated in much the same way as the gradient.  Convert the rise and run to the same units and then divide the rise by the run.  Multiply this number by 100 and you have the percentage slope.  For instance, 3" rise divided by 36" run = .083 x 100 = an 8.3% slope.

Distance Formula and Pythagorean Theorem

The distance formula is derived from the Pythagorean theorem. To find the distance between two points (x1,y1) and (x2,y2), all that you need to do is use the coordinates of these ordered pairs and apply the formula pictured below.

The distance formula is 
               
 Distance =√(x2−x1)2+(y2−y1)2


           














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