Roof Pitch to Degrees • Degrees to Roof Pitch
Conversion Charts
Roof Online Staff
Table of Contents
– click to jump to section –
Related Pages
How to Convert Standard Roof Pitch to Degrees
About This Roof Slope 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. This will help you find the conversion equivalent for any slope not listed.
Conversion Formula for Standard Roof Pitch 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”, yours will vary) by the run (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 9½ to 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.
Chart: Standard Roof Pitch Converted to Degrees
Roof Pitch to Degrees Conversion  

Standard Roof Pitch (Roof Slope as Xin12) 
Roof Angle (In Degrees) 
0.125in12 (⅛in12) 
0.60° 
0.25in12 (¼in12) 
1.19° 
0.5in12 (½in12) 
2.39° 
1in12  4.76° 
1.5in12  7.13° 
2in12  9.46° 
2.5in12  11.77° 
3in12  14.04° 
3.5in12  16.26° 
4in12  18.43° 
4.5in12  20.56° 
5in12  22.62° 
5.5in12  24.62° 
6in12  26.57° 
6.5in12  28.44° 
7in12  30.26° 
7.5in12  32.01° 
8in12  33.69° 
8.5in12  35.31° 
9in12  36.87° 
9.5in12  38.37° 
10in12  39.81° 
10.5in12  41.19° 
11in12  42.51° 
11.5in12  43.78° 
Roof Pitch to Degrees Conversion  

Standard Roof Pitch (Roof Slope as Xin12) 
Roof Angle (In Degrees) 
12in12  45° 
12.5in12  46.17° 
13in12  47.29° 
13.5in12  48.37° 
14in12  49.4° 
14.5in12  50.39° 
15in12  51.34° 
15.5in12  52.25° 
16in12  53.13° 
16.5in12  53.97° 
17in12  54.78° 
17.5in12  55.56° 
18in12  56.31° 
18.5in12  57.03° 
19in12  57.72° 
19.5in12  58.39° 
20in12  59.04° 
20.5in12  59.66° 
21in12  60.26° 
21.5in12  60.83° 
22in12  61.39° 
22.5in12  61.93° 
23in12  62.45° 
23.5in12  62.95° 
24in12  63.43° 
Roof Pitch to Degrees Conversion  

Standard Roof Pitch (Roof Slope as Xin12) 
Roof Angle (In Degrees) 
24.5in12  63.90° 
25in12  64.36° 
25.5in12  64.80° 
26in12  65.22° 
26.5in12  65.64° 
27in12  66.04° 
27.5in12  66.43° 
28in12  66.80° 
28.5in12  67.17° 
29in12  67.52° 
29.5in12  67.86° 
30in12  68.20° 
30.5in12  68.52° 
31in12  68.84° 
31.5in12  69.15° 
32in12  69.44° 
32.5in12  69.73° 
33in12  70.02° 
33.5in12  70.29° 
34in12  70.56° 
34.5in12  70.82° 
35in12  71.08° 
35.5in12  71.32° 
36in12  71.57° 
36.5in12  71.80° 
How to Convert Roof Angle in Degrees to Standard Roof Pitch
About This Slope 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
To convert slopes in degrees, including slopes 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.
Chart: 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 RiseinRun 


Roof Angle in Degrees  Roof Slope as RiseinRun (Xin12) 
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 RiseinRun 


Roof Angle in Degrees  Roof Slope as RiseinRun (Xin12) 
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 RiseinRun 


Roof Angle in Degrees  Roof Slope as RiseinRun (Xin12) 
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 