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How to Angle Concrete Steps

Before you begin building a flight of concrete steps, you need to do a little math to determine how to angle the steps. Knowing the height of each riser and the length of each tread is essential for determining how many steps your staircase will have, but knowing the angle of the flight of steps is important too. With a scientific calculator you can determine the angle of your concrete steps in just a few minutes.

Things You'll Need

  • Scientific calculator
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Instructions

    • 1

      Determine what the riser height and tread length of your stairs will be. Concrete steps with a rise of 7 1/2 inches and a 12-inch tread are generally the most comfortable to walk on. Note that according to nationwide building codes, risers cannot exceed 7 3/4 inches and tread depth cannot be less than 10 inches.

    • 2

      Multiply the tread and riser dimensions each by themselves to find their squares. Add the two numbers together and find their square root on a calculator to determine the distance between the edge of each step and the one above it. With a rise of 7 inches and a tread of 11 inches, for example, these calculations would look like this on the scientific calculator: 7²=49; 11²=121; 49+121=170; √170=13.04

    • 3

      Divide the riser height by the edge-distance, or hypotenuse, to find their ratio. Find the inverse sine of the ratio with a calculator to determine the angle of the steps. With the example staircase, these calculations would look like this: 7/13.04=0.54; sin⁻¹(0.54)=32.47 degrees.