**Roof Pitch Multiplier Table**

**Roof Pitch Multiplier Table****(Roof Pitch Factor Explained)**

Roof Online Staff

**Table of Contents**

**Related Pages**

- Hip and Valley Factor Table
- How to Find the Area of a Sloped Roof
- Roof Slope: Degrees to Pitch (Rise-in-Run)
- Roof Slope Equivalents (as rise-in-run, in degrees, and as percentage)

**Use Standard Pitch**

For help converting from degrees or percentage to traditional pitch, see our pages Roof Slope Equivalents or Convert Degrees to Roof Pitch (X-in-12).

You will need to know the slope of the roof in the standard pitch format “X-in-12″ for the rest of this page to make sense.

**What is a Roof Pitch Multiplier?**

A roof pitch** **multiplier, also called a roof pitch factor, is a number that you use to find the actual surface area of a pitched roof.

You multiply the roof pitch multiplier by the area, or footprint, covered by a sloped roof to produce the actual surface area of the roof.

**Roof Pitch Multiplier Formula**

Once you know your roof slope expressed as “X-in-12″ (rise-in-run), the roof pitch multiplier is determined by finding **the square root of ((rise/run)² + 1)**.

Remember that the** **slope of the roof provides the rise and the run to be plugged into the equation. A roof pitch of 4-in-12 (4:12) has a rise of 4 and a run of 12.

So you divide the rise by the run (the run is always 12 and the rise depends on your particular roof).

Square the result.

Add 1.

Find the square root of the result.

(There’s a good calculator here.)

**Using the Pitch Multiplier for Common Rafters**

The** **roof pitch** **factor is** **also used to calculate the length of common rafters.

To find the length of a common rafter, determine its span from the bottom of the end of the rafter tail to the top of the ridge cut at the ridge board. Once you know the actual horizontal distance it will cover, use the formula above.

Multiply the roof pitch multiplier by the run of the rafter (the horizontal distance covered by the rafter). That will give you the proper rafter length.

To find the location of the heel cut, the multiplier is multiplied by the “**effective run**” of the rafter. The effective run is the horizontal distance covered by the rafter from the near side of the ridge board, where the head cut will be, to the outside of the wall plate, where the heel cut will be.

Always measure for every rafter, even being off ⅛-inch can make a big difference if the error gets multiplied as you go along.

**Notes on Our Roof Pitch Multiplier Chart**

The following table** **provides** **the roof pitch multiplier for roofs of various slopes. For a more detailed explanation of the roof pitch multiplier, see “How to Find the Area of a Sloped Roof“.

If you know** **the **roof pitch in degrees**, find the secant of the slope using a scientific calculator. For example, if the roof pitch is 45°, then sec(45) = 1.414213. That’s your roof pitch multiplier.

If you’re not sure what the pitch of your roof is and you want to figure that out, we recommend __this slope finder on Amazon__.* It’s very inexpensive and very accurate.

**One more thing**: if you’re using this table, you should consider getting yourself a construction calculator. __This one is very good__.*

**Roof Pitch Multiplier Table**

Roof Pitch Multiplier | ||
---|---|---|

Roof Slope (Rise-in-Run) |
Roof Slope (In Degrees) |
Roof Pitch Multiplier |

0.5-in-12 | 2.39° | 1.001 |

1-in-12 | 4.76° | 1.003 |

1.5-in-12 | 7.13° | 1.008 |

2-in-12 | 9.46° | 1.014 |

2.5-in-12 | 11.77° | 1.021 |

3-in-12 | 14.04° | 1.031 |

3.5-in-12 | 16.26° | 1.042 |

4-in-12 | 18.43° | 1.054 |

4.5-in-12 | 20.56° | 1.068 |

5-in-12 | 22.62° | 1.083 |

5.5-in-12 | 24.62° | 1.100 |

6-in-12 | 26.57° | 1.118 |

6.5-in-12 | 28.44° | 1.137 |

7-in-12 | 30.26° | 1.158 |

7.5-in-12 | 32.01° | 1.179 |

8-in-12 | 33.69° | 1.202 |

8.5-in-12 | 35.31° | 1.225 |

9-in-12 | 36.87° | 1.250 |

9.5-in-12 | 38.37° | 1.275 |

10-in-12 | 39.81° | 1.302 |

10.5-in-12 | 41.19° | 1.329 |

11-in-12 | 42.51° | 1.357 |

11.5-in-12 | 43.78° | 1.385 |

12-in-12 | 45° | 1.414 |

12.5-in-12 | 46.17° | 1.444 |

13-in-12 | 47.29° | 1.474 |

13.5-in-12 | 48.37° | 1.505 |

14-in-12 | 49.4° | 1.537 |

14.5-in-12 | 50.39° | 1.568 |

15-in-12 | 51.34° | 1.601 |

15.5-in-12 | 52.25° | 1.634 |

16-in-12 | 53.13° | 1.667 |

16.5-in-12 | 53.97° | 1.700 |

17-in-12 | 54.78° | 1.734 |

17.5-in-12 | 55.56° | 1.768 |

18-in-12 | 56.31° | 1.803 |

18.5-in-12 | 57.03° | 1.838 |

19-in-12 | 57.72° | 1.873 |

19.5-in-12 | 58.39° | 1.908 |

20-in-12 | 59.04° | 1.944 |

20.5-in-12 | 59.66° | 1.979 |

21-in-12 | 60.26° | 2.016 |

21.5-in-12 | 60.83° | 2.052 |

22-in-12 | 61.39° | 2.088 |

22.5-in-12 | 61.93° | 2.125 |

23-in-12 | 62.45° | 2.162 |

23.5-in-12 | 62.95° | 2.199 |

24-in-12 | 63.43° | 2.236 |

24.5-in-12 | 63.90° | 2.273 |

25-in-12 | 64.36° | 2.311 |

25.5-in-12 | 64.80° | 2.349 |

26-in-12 | 65.22° | 2.386 |

26.5-in-12 | 65.64° | 2.424 |

27-in-12 | 66.04° | 2.462 |

27.5-in-12 | 66.43° | 2.500 |

28-in-12 | 66.80° | 2.539 |

28.5-in-12 | 67.17° | 2.577 |

29-in-12 | 67.52° | 2.615 |

29.5-in-12 | 67.86° | 2.654 |

30-in-12 | 68.20° | 2.693 |

30.5-in-12 | 68.52° | 2.731 |