Roof Pitch to Degrees Converter (and Degrees to Pitch)

Choose a direction, enter a pitch or an angle, and get the other one along with the slope percentage and slope factor. The chart below lists every common pitch from 1/12 to 24/12.

Pitch ↔ degrees calculator

How it works

Pitch to degrees: angle = arctan(pitch ÷ 12)
Degrees to pitch: pitch = tan(angle) × 12
Slope factor = √(1 + (pitch ÷ 12)²)

Worked example

Converting a 6/12 pitch:

Convert: Pitch (x in 12) to degrees
Pitch: rise per 12 in: 6 in

The calculator gives:

Angle: 26.57°
Slope percentage: 50.0%
Slope factor: 1.1180

arctan(6 ÷ 12) = arctan(0.5) = 26.57°. Going the other way, 30° is tan(30°) × 12 = 6.93, just under a 7/12 pitch.

Roof pitch to degrees chart

Pitch	Angle	Slope	Slope factor
1/12	4.76°	8.3%	1.003
2/12	9.46°	16.7%	1.014
3/12	14.04°	25.0%	1.031
4/12	18.43°	33.3%	1.054
5/12	22.62°	41.7%	1.083
6/12	26.57°	50.0%	1.118
7/12	30.26°	58.3%	1.158
8/12	33.69°	66.7%	1.202
9/12	36.87°	75.0%	1.250
10/12	39.81°	83.3%	1.302
11/12	42.51°	91.7%	1.357
12/12	45.00°	100.0%	1.414
14/12	49.40°	116.7%	1.537
16/12	53.13°	133.3%	1.667
18/12	56.31°	150.0%	1.803
20/12	59.04°	166.7%	1.944
22/12	61.39°	183.3%	2.088
24/12	63.43°	200.0%	2.236

Notes and limits

Angle finders and phone apps read in degrees; plans, shingle instructions and the IRC use pitch in 12. Convert before comparing.
A 12/12 roof is 45°. Beyond that the pitch number grows fast: 24/12 is 63.4°.

Frequently asked questions

What is a 4/12 pitch in degrees?

18.43°.

What is a 6/12 pitch in degrees?

26.57°.

What pitch is 30 degrees?

About 6.93 in 12, just under 7/12.

What pitch is 45 degrees?

12 in 12.

Sources

International Code Council, 2021 International Residential Code, Sections R905.2.2 (slope limits for asphalt shingles) and R905.2.6 (fasteners: as the manufacturer requires, not fewer than four per strip shingle)

Last reviewed: 26 September 2026. The calculation is covered by automated tests with known answers taken from the sources above. Found an error? Please let us know.