Standard Roof Pitch to Degrees • Roof Angle in Degrees to Roof Pitch
Slope Conversion Charts • Slope Conversion Formulas
By Jack Gray, Roof Online Editor • Updated October 13, 2022
Table of Contents
 Why Convert Roof Pitch to Degrees or Vice Versa?
 Note: Correct Format When Stating Roof Pitch
 Useful Roof Slope Tools
 How to Convert Standard Roof Pitch to Degrees
 How to Convert Roof Angle in Degrees to Standard Roof Pitch
 Related Pages
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 more generally often use one or the other, but not both.
This is definitely a problem for Englishspeaking 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 would be a nice to have. Being able to quickly convert standard roof pitch to degrees comes in handy in those situations, 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 “Xin12”, 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.
Useful Roof Slope Tools
If you’re not sure what the slope of your roof is and you want to determine that 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 out this digital level.
It may be way too expensive for what you need, but this is what professionals use. 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.
If you’re using this table, you may want to look into getting yourself a construction calculator. This one is very good.
How to 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 ⅛in12 to 36½in12.
To see the percentage equivalents for standard riseinrun roof pitches, see our page Three 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.
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 “Xin12″ 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 calculator here 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 9½in12
 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 9½in12 roof slope is the same as a 38.37 degree slope.
Table 1: Standard Roof Pitch to Degrees Conversion
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° 
How to Convert Roof Angle in Degrees to Standard Roof Pitch
About This Degrees to Roof Pitch Conversion Table
The following table shows the roof pitch (riseinrun) equivalents for all roof slopes in degrees from 1° to 72°. Other than the 45° roof slope, which is 12in12, none of the standard roof pitches (5in12, 6in12, etc.) are equal to a whole degree.
To see what the degree or percentage equivalents are for standard riseinrun roof pitches, see our page Three Ways of Expressing Roof Slope. That page also explains the math that allows you to do the conversions yourself for any slope not listed.
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 RiseinRun.
You can find a good calculator here 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 8.556in12 or approximately 89/16 in 12.
Table 2: Slopes in Degrees Converted 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 riseinrun, 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 
About the Author
Jack Gray is a principal roof consultant and vice president at the Moriarty Corporation, an awardwinning building enclosure consultant firm founded in 1967. He is also the editor of the Roof Online website.
Mr. Gray has over 25 years of experience in the roofing industry, with training and practical experience in roof safety, roof inspection, roof condition assessment, estimating, roof design & specification, roof installation, 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 attended Cornell University. Read full bio.