Roof Pitch To Degrees Formula

Enter any angle or fraction of angle to find pitch.

Roof pitch to degrees formula. The roof s pitch is the vertical rise and it is divided into its horizontal run or span known as slope in stair construction and the tangent function in geometry or trigonometry. First convert the pitch to a slope. Pitch tan angle use this when you express the angle of the roof pitch in degrees what is the standard pitch of a roof. Directly measure roof pitch angle and calculate pitch and angle on phone or tablet.

If a roof or ramp rises 4 in a length of 12 the pitch is 4 in 12 which is 18 43 or 33 33 grade enter base length to calculate rise and diagonal for current pitch angle. Enter any pitch or fraction of pitch to find angle. Percent of slope is often used to express road grade conditions. To do this simply convert the rise and run as a fraction to a decimal form eg.

To convert between american roofing ratios and pitch degrees follow these steps. Roof pitch and corresponding angles. The following table shows the roof pitch rise in run equivalents for all roof slopes in degrees from 1 to 72. Rise run rise run slope.

Look at the column labeled pitch then look under degrees to get the corresponding amount of degrees. To find the angle of a roof in degrees convert the pitch to a slope then convert to degrees by finding the arc tangent of the slope. A 12 12 pitch roof has a pitch angle of 45. 45 this is our pitch calculator which will convert pitch to angle or angle to pitch for half degree roof slope calculations.

This is usually expressed with the rise and followed by the run in the imperial measurement system dominated by number 12 which in turn gives a ratio of the total measurement of the incline for every 1 foot or 12 inches of run. Image 1 12 to 12 12 roof pitch. Other than the 45 roof slope which is 12 in 12 none of the standard roof pitches 5 in 12 6 in 12 etc are equal to a whole degree. To see what the degree equivalents are for standard rise in run roof pitches see our page quick reference.

So the formula for percent of slope is rise run x 100 percent of slope. Roof pitch to degrees equivalents this drawing demonstrates how many degrees rise for each pitch of a typical roof. Just a quick note here rise divided by the run is also how we figure percent of slope. This means if a roof rises 4 in the length of 12 your roof pitch would be 4 12 or 18 43 degrees.

Find the inverse tangent of the pitch to find the angle in degrees. 8 12 pitch 33 75 degrees. Divide the first part of the ratio by 12 to work out the pitch. Roof pitch refers to the measurement of the slope of a roof and you express this as a ratio.

In the above example percent of slope is 58. On blue prints architects engineers usually display the pitch of a roof in the format shown on the image where number 4 represents a rise and number 12 represents a length. Roof slope expressed as rise.