Roof Pitch to Degrees • Degrees to Roof Pitch

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How to Convert Standard Roof Pitch to Degrees

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 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

1. To convert a roof slope expressed as “X-in-12″ to a roof slope expressed in degrees, find the arctangent of (rise/run).
2. Divide the rise (that’s the “X”, yours will vary) by the run (always 12).
3. 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:

1. For a slope of 9½-in-12
2. Convert 9½ to 9.5
3. Divide 9.5 by 12 (rise/run is 9.5/12) to get 0.791667
4. Find the arctangent of 0.791667
5. Arctan(0.791667) = 38.367497125297
6. Round this to a reasonable number of digits. Let’s call it 38.37.
7. A 9½-in-12 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 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-in-12 4.76°
1.5-in-12 7.13°
2-in-12 9.46°
2.5-in-12 11.77°
3-in-12 14.04°
3.5-in-12 16.26°
4-in-12 18.43°
4.5-in-12 20.56°
5-in-12 22.62°
5.5-in-12 24.62°
6-in-12 26.57°
6.5-in-12 28.44°
7-in-12 30.26°
7.5-in-12 32.01°
8-in-12 33.69°
8.5-in-12 35.31°
9-in-12 36.87°
9.5-in-12 38.37°
10-in-12 39.81°
10.5-in-12 41.19°
11-in-12 42.51°
11.5-in-12 43.78°
Roof Pitch to Degrees Conversion
Standard Roof Pitch
(Roof Slope as X-in-12)
Roof Angle
(In Degrees)
12-in-12 45°
12.5-in-12 46.17°
13-in-12 47.29°
13.5-in-12 48.37°
14-in-12 49.4°
14.5-in-12 50.39°
15-in-12 51.34°
15.5-in-12 52.25°
16-in-12 53.13°
16.5-in-12 53.97°
17-in-12 54.78°
17.5-in-12 55.56°
18-in-12 56.31°
18.5-in-12 57.03°
19-in-12 57.72°
19.5-in-12 58.39°
20-in-12 59.04°
20.5-in-12 59.66°
21-in-12 60.26°
21.5-in-12 60.83°
22-in-12 61.39°
22.5-in-12 61.93°
23-in-12 62.45°
23.5-in-12 62.95°
24-in-12 63.43°
Roof Pitch to Degrees Conversion
Standard Roof Pitch
(Roof Slope as X-in-12)
Roof Angle
(In Degrees)
24.5-in-12 63.90°
25-in-12 64.36°
25.5-in-12 64.80°
26-in-12 65.22°
26.5-in-12 65.64°
27-in-12 66.04°
27.5-in-12 66.43°
28-in-12 66.80°
28.5-in-12 67.17°
29-in-12 67.52°
29.5-in-12 67.86°
30-in-12 68.20°
30.5-in-12 68.52°
31-in-12 68.84°
31.5-in-12 69.15°
32-in-12 69.44°
32.5-in-12 69.73°
33-in-12 70.02°
33.5-in-12 70.29°
34-in-12 70.56°
34.5-in-12 70.82°
35-in-12 71.08°
35.5-in-12 71.32°
36-in-12 71.57°
36.5-in-12 71.80°

How to Convert Roof Angle in Degrees to Standard Roof Pitch

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 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:

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

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 8.556-in-12 or approximately 8-9/16 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 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 Rise-in-Run
Roof Angle in Degrees Roof Slope as Rise-in-Run
(X-in-12)
0.209 in 12
0.419 in 12
0.629 in 12
0.839 in 12
1.050 in 12
1.261 in 12
1.473 in 12
1.687 in 12
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 Rise-in-Run
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 Rise-in-Run
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