Slope Conversion Calculators, Tables, and Formulas

ByJack Gray, Roof Online Editor • Updated November 18, 2023

## Table of Contents

- Quick Reference: Common Roof Pitches in Degrees
- Calculator: Degrees to Roof Pitch Conversion
- Calculator: Roof Pitch to Degrees Conversion
- Why Convert Roof Pitch to Degrees or Vice Versa?
- Note: Correct Format When Stating Roof Pitch
- Convert Standard Roof Pitch to Degrees
- Table 1: Standard Roof Pitch to Degrees
- Conversion Formula for Standard Roof Pitch to Degrees
- Convert Roof Angle in Degrees to Standard Roof Pitch
- Table 2: Roof Angles in Degrees to Standard Roof Pitch
- Conversion Formula for Degrees to Standard Roof Pitch
- Useful Roof Slope Tools
- Related Articles

## Quick Reference: Common Roof Pitches in Degrees

Here are some of the most common standard roof pitches with their degree equivalents:

**1/12 pitch** in degrees is a **4.76°** roof angle.

**2/12 pitch** in degrees is a **9.46°** roof angle.

**3/12 pitch** in degrees is a **14.04°** roof angle.

**4/12 pitch** in degrees is an **18.43°** roof angle.

**5/12 pitch** in degrees is a **22.62°** roof angle.

**6/12 pitch** in degrees is a **26.57°** roof angle.

**7/12 pitch** in degrees is a **30.26°** roof angle.

**8/12 pitch** in degrees is a **33.69°** roof angle.

**9/12 pitch** in degrees is a **36.87°** roof angle.

**10/12 pitch** in degrees is a **39.81°** roof angle.

**11/12 pitch** in degrees is a **42.51°** roof angle.

**12/12 pitch** in degrees is a **45°** roof angle.

Please see our roof pitch & degree conversion tables below for a much more comprehensive list. We also explain how to calculate roof pitch in degrees yourself (and vice versa).

## Calculator: Degrees to Roof Pitch Conversion

This calculator converts degrees (including degrees with decimal fractions) to standard roof pitch format to two decimal places.

## Degrees to Roof Pitch Converter

Enter the angle in degrees to convert to roof pitch:

## Calculator: Roof Pitch to Degrees Conversion

This calculator converts any roof pitch in standard format (including roof pitches with decimal fractions) to degrees to two decimal places.

## Roof Pitch to Degrees Converter

Enter a number for the “x” part of

your x-in-12 roof pitch to convert to degrees:

## Why Convert Roof Pitch to Degrees or Vice Versa?

There are a few reasons why you’d want to convert roof pitch to degrees or convert a roof slope in degrees to standard roof pitch. But the main issue that comes to mind is the fact that technical literature relating to specific roofing products or roof design often use one or the other, but not both.

This is definitely a problem for English-speaking people outside of the United States reading American roofing literature, and vice versa. Say you’re used to standard roof pitch, you’re checking out a new roofing product on a foreign company’s website, and you read that the product has a minimum slope requirement of 20°. It can slow you down.

A good roof pitch to degrees chart is nice to have for times like that, and that’s the main reason we put these tables together.

## Note: Correct Format When Stating Roof Pitch

When discussing roof pitch, the proper way to state a specific pitch is in the form “X-in-12”, so if you’re talking about a roof that rises 6 units for every 12 units it runs horizontally, you would say that the roof has a 6 in 12 pitch.

In roofing industry literature, the standard abbreviation used for indicating a particular roof pitch has a colon and takes the form “X:12” or “X : 12”, so for a 6 in 12 pitch, you would write “6:12 pitch”.

As a practical matter, an overwhelming number of people looking for information about roof pitch on the internet search for a roof pitch using a slash, as in “6/12”. In order to help more people find what they’re looking for, we are using the “X/12” form in our first table below.

## Convert Standard Roof Pitch to Degrees

### About This Roof Pitch to Degrees Conversion Table

The following table shows the degree equivalents for all roof slopes in standard pitch from ⅛-in-12 to 36½-in-12.

To see the**percentage**equivalents for standard rise-in-run roof pitches, see our pageThree Ways of Expressing Roof Slope.

That page also explains the math that allows you to convert any roof slope expressed in any way to any other way. Pitch to degrees, percentage to degrees, degrees to percentage, etc. This will help you find the conversion equivalent for any slope not listed.

## Table 1: Standard Roof Pitch to Degrees

Roof Pitch to Degrees Conversion | |
---|---|

Standard Roof Pitch (Roof Slope as X in 12) | Roof Angle (In Degrees) |

0.125 in 12 (⅛ in 12) | 0.60° |

0.25 in 12 (¼ in 12) | 1.19° |

0.5 in 12 (½ in 12) | 2.39° |

1/12 | 4.76° |

1.5/12 | 7.13° |

2/12 | 9.46° |

2.5/12 | 11.77° |

3/12 | 14.04° |

3.5/12 | 16.26° |

4/12 | 18.43° |

4.5/12 | 20.56° |

5/12 | 22.62° |

5.5/12 | 24.62° |

6/12 | 26.57° |

6.5/12 | 28.44° |

7/12 | 30.26° |

7.5/12 | 32.01° |

8/12 | 33.69° |

8.5/12 | 35.31° |

9/12 | 36.87° |

9.5/12 | 38.37° |

10/12 | 39.81° |

10.5/12 | 41.19° |

11/12 | 42.51° |

11.5/12 | 43.78° |

Roof Pitch to Degrees Conversion | |
---|---|

Standard Roof Pitch (Roof Slope as X in 12) | Roof Angle (In Degrees) |

12/12 | 45° |

12.5/12 | 46.17° |

13/12 | 47.29° |

13.5/12 | 48.37° |

14/12 | 49.4° |

14.5/12 | 50.39° |

15/12 | 51.34° |

15.5/12 | 52.25° |

16/12 | 53.13° |

16.5/12 | 53.97° |

17/12 | 54.78° |

17.5/12 | 55.56° |

18/12 | 56.31° |

18.5/12 | 57.03° |

19/12 | 57.72° |

19.5/12 | 58.39° |

20/12 | 59.04° |

20.5/12 | 59.66° |

21/12 | 60.26° |

21.5/12 | 60.83° |

22/12 | 61.39° |

22.5/12 | 61.93° |

23/12 | 62.45° |

23.5/12 | 62.95° |

24/12 | 63.43° |

Roof Pitch to Degrees Conversion | |
---|---|

Standard Roof Pitch (Roof Slope as X in 12) | Roof Angle (In Degrees) |

24.5/12 | 63.90° |

25/12 | 64.36° |

25.5/12 | 64.80° |

26/12 | 65.22° |

26.5/12 | 65.64° |

27/12 | 66.04° |

27.5/12 | 66.43° |

28/12 | 66.80° |

28.5/12 | 67.17° |

29/12 | 67.52° |

29.5/12 | 67.86° |

30/12 | 68.20° |

30.5/12 | 68.52° |

31/12 | 68.84° |

31.5/12 | 69.15° |

32/12 | 69.44° |

32.5/12 | 69.73° |

33/12 | 70.02° |

33.5/12 | 70.29° |

34/12 | 70.56° |

34.5/12 | 70.82° |

35/12 | 71.08° |

35.5/12 | 71.32° |

36/12 | 71.57° |

36.5/12 | 71.80° |

## Conversion Formula for Standard Roof Pitch to Degrees

This is how you convert a slope expressed in standard roof pitch (even a slope that include a fraction) to degrees:

- To convert a roof slope expressed as “X-in-12″ to a roof slope expressed in degrees, find the arctangent of (rise/run).
- Divide the rise (that’s the “X”, your “X” will vary according to how steep the roof is) by the run (the run is always 12).
- Using a scientific calculator, find the
**arctangent**of the result.

There’s a good calculatorhere at web2.0calc.com. Click the “**2nd**” button (top left of the calculator field). The “**atan**” (arctangent) button is the second from the bottom on the left side of the calculator field.

First enter the number you got from dividing your rise by your run (0.791667 in the following example).

Then click the “**atan**” button, and then the “**=**” button. This will give you the arctangent of (rise/run).

#### Example:

- For a slope of 9½-in-12
- Convert to a decimal: 9½ becomes 9.5
- Divide 9.5 by 12 (rise/run is 9.5/12) to get 0.791667
- Find the arctangent of 0.791667
- Arctan(0.791667) = 38.367497125297
- Round this to a reasonable number of digits. Let’s call it 38.37.
- A 9½-in-12 roof slope is the same as a 38.37 degree slope.

## Convert Roof Angle in Degrees to Standard Roof Pitch

### About This Degrees to Roof Pitch Conversion Table

The following table shows the roof pitch (rise-in-run) equivalents for all roof slopes in degrees from 1° to 72°. 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 or **percentage** equivalents are for standard rise-in-run roof pitches, see our pageThree Ways of Expressing Roof Slope. That page also explains the math that allows you to do the conversions yourself for any slope not listed.

## Table 2: Roof Angles in Degrees to Standard Roof Pitch

If you’re not sure what the slope of your roof is and you want to determine that in either degrees or rise-in-run, we recommend__this slope finder on Amazon__. It’s very inexpensive and very accurate.

If you’re using this table, you may want to look into getting yourself a construction calculator.__This one is very good__.

Convert Roof Slope from Degrees to Standard Roof Pitch | |
---|---|

Roof Angle in Degrees | Roof Slope as Rise in Run (X in 12) |

1° | 0.209 in 12 |

2° | 0.419 in 12 |

3° | 0.629 in 12 |

4° | 0.839 in 12 |

5° | 1.050 in 12 |

6° | 1.261 in 12 |

7° | 1.473 in 12 |

8° | 1.687 in 12 |

9° | 1.901 in 12 |

10° | 2.116 in 12 |

11° | 2.333 in 12 |

12° | 2.551 in 12 |

13° | 2.770 in 12 |

14° | 2.991 in 12 |

15° | 3.215 in 12 |

16° | 3.441 in 12 |

17° | 3.669 in 12 |

18° | 3.899 in 12 |

19° | 4.132 in 12 |

20° | 4.368 in 12 |

21° | 4.606 in 12 |

22° | 4.848 in 12 |

23° | 5.094 in 12 |

24° | 5.343 in 12 |

Convert Roof Slope from Degrees to Standard Roof Pitch | |
---|---|

Roof Angle in Degrees | Roof Slope as Rise in Run (X in 12) |

25° | 5.596 in 12 |

26° | 5.853 in 12 |

27° | 6.114 in 12 |

28° | 6.381 in 12 |

29° | 6.652 in 12 |

30° | 6.928 in 12 |

31° | 7.210 in 12 |

32° | 7.498 in 12 |

33° | 7.793 in 12 |

34° | 8.094 in 12 |

35° | 8.403 in 12 |

36° | 8.719 in 12 |

37° | 9.043 in 12 |

38° | 9.375 in 12 |

39° | 9.717 in 12 |

40° | 10.069 in 12 |

41° | 10.431 in 12 |

42° | 10.805 in 12 |

43° | 11.190 in 12 |

44° | 11.588 in 12 |

45° | 12.000 in 12 |

46° | 12.426 in 12 |

47° | 12.868 in 12 |

48° | 13.327 in 12 |

Convert Roof Slope from Degrees to Standard Roof Pitch | |
---|---|

Roof Angle in Degrees | Roof Slope as Rise in Run (X in 12) |

49° | 13.804 in 12 |

50° | 14.301 in 12 |

51° | 14.819 in 12 |

52° | 15.359 in 12 |

53° | 15.925 in 12 |

54° | 16.517 in 12 |

55° | 17.138 in 12 |

56° | 17.791 in 12 |

57° | 18.478 in 12 |

58° | 19.204 in 12 |

59° | 19.971 in 12 |

60° | 20.785 in 12 |

61° | 21.649 in 12 |

62° | 22.569 in 12 |

63° | 23.551 in 12 |

64° | 24.604 in 12 |

65° | 25.734 in 12 |

66° | 26.952 in 12 |

67° | 28.270 in 12 |

68° | 29.701 in 12 |

69° | 31.261 in 12 |

70° | 32.970 in 12 |

71° | 34.851 in 12 |

72° | 36.932 in 12 |

## Conversion Formula for Degrees to Standard Roof Pitch

This is how you convert a slope expressed in degrees (even a slope that include a fraction of a degree) to standard roof pitch:

- Find the tangent of the degree value.
- Multiply the tangent by the run (which is by convention always 12).
- That gives you the rise. Put them together as Rise-in-Run.

You can find a good calculatorhere at web2.0calc.com.

#### Example:

For a slope of 35.5°:

- tan(35.5) = 0.713
- 0.713 x 12 = 8.556
- giving you a slope of 8.556-in-12 or
**approximately**8-9/16 in 12.

If you’re not sure what the slope of your roof is and you want to measure it, in either degrees or standard roof pitch, we recommend__this slope finder on Amazon__. It’s very inexpensive and very accurate.

If you want to know the slope of anything to an amazing degree of accuracy and you like cool new tools, you should check outthis digital level.

That level may be way too expensive for what you need, but this is what professionals use, so I thought I’d mention it. It will tell you the slope of your roof in degrees, rise/run, or percentage, and automatically convert from one to the other. In other words, it will do everything this article explains how to do.

Also, if you’re using these tables, you may want to get yourself a construction calculator.__This one is very good__.

About the Author

**Jack Gray** is a principal roof consultant and vice president at theMoriarty Corporation, an award-winning building enclosure consultant firm founded in 1967. He is also the editor of the Roof Online website.

Mr. Gray has worked in the roofing industry for over 25 years, with training and practical experience in roof installation, roof inspection, roof safety, roof condition assessment, construction estimating, roof design & specification, quality assurance, roof maintenance & repair, and roof asset management.

He was awarded the Registered Roof Observer (RRO) professional credential in 2009.

He also served as an infantry paratrooper in the 82^{nd} Airborne Division and has a B.A. from Cornell University. Read full bio.

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