Measurements & Conversions

Roof Pitch to Angle Calculator

Convert a roof pitch (rise per 12 units of run) into its equivalent angle in degrees and slope percent.

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  • Every formula cited
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The 'X' in an X/12 roof pitch — how many inches the roof rises over 12 in of horizontal run.

A '6/12' roof is a common moderate pitch; roofs are conventionally specified this way regardless of whether you use metric elsewhere, since it's a fixed North American roofing convention.

Roof angle

26.57 degrees

High confidence
Slope percent
50 %
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • Roofing pitch is conventionally expressed as rise per 12 in of run (e.g. '6/12'); angle in degrees = arctangent(rise / 12)

Inputs used

Rise per 12 in of Run
6

Intermediate steps

Slope percent
50 %
Final result26.57 degrees

What this calculation does not cover

  • The angle is the slope of the plane and carries no height with it. How far the ridge actually stands above the plate comes from the run — half the span on a symmetrical gable — times the rise per foot, so a given pitch puts four times the ridge height over a span four times as wide. Choose a pitch on the angle alone and the ridge can land above a planning height limit, below an existing eaves line, or with an attic room that has no headroom in it.
  • Pitch is a load case before it is a geometry. Snow standards hold the full design snow on the roof until the slope passes a threshold — around 30 degrees on a shingled surface that snow will not slide off — and reduce it only above that, while wind on the windward plane swings from suction toward positive pressure as the roof steepens. Changing a pitch is a rafter, tie and hold-down question, not just a change in covering quantity.

Add the equipment this sizes

This result is a specification — 26.57 degrees — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

26.57°1266:12 pitch · 26.57° · 50 %

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-09-06 · in the site-wide review of 2026-09-06 · v1.0.1

Regulatory standards & verification citations1
  1. Roofing pitch is conventionally expressed as rise per 12 in of run (e.g. '6/12'); angle in degrees = arctangent(rise / 12)
Cite this page

Your workspace

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Now that you have the number

These guides cover the work this quantity is for — the first ones run this calculator inside the section that raises the question.

How to calculate roof pitch to angle in 2 steps

  1. Rise per 12 in of RunThe 'X' in an X/12 roof pitch — how many inches the roof rises over 12 in of horizontal run.
  2. Roof angleThe tool computes the roof angle from those figures and shows the formula, its sources, and a confidence rating alongside it.

Roof angle by rise per 12 in of run

Page defaults, not your figures above.

Rise per 12 in of RunRoof angle (degrees)
14.76
29.46
522.6
1039.8
2059

Frequently asked questions

Why is roof pitch expressed as X/12 instead of degrees?
It's a long-standing North American roofing and carpentry convention tied to the framing square (a common layout tool marked in inches) — '6/12' tells a framer directly how to set the square, which is faster on the job site than working in degrees.
What pitch is considered 'low slope' vs 'steep'?
Roughly under 4/12 is often called low-slope (needing different roofing materials/methods), 4/12 to 9/12 is a common standard range, and above 9/12 is generally considered steep, sometimes requiring roof harnesses for safe installation.
Does roof pitch affect how much material I need?
Yes — a steeper pitch means more actual roof surface area for the same footprint, since the shingles/material cover the sloped surface, not the flat plan area. Check the Roofing Shingle Calculator, which accounts for this.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.