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Roof pitch calculator

Enter the rise and the run, or the angle, and read the pitch every way roofers write it, plus the true roof area.

Checked Nov 20262 sources citedSee the working
What do you know

Use 12 in if you measured with a level a foot long.

The horizontal area under this roof, overhangs included. Optional.

Everything is worked out in this page. Nothing you type is sent.

Units

Enter and read measurements in feet, inches and yards.

Drawn to scale
12 in run6 in rise26.6°26.6 degrees
Pitch
6.00
in 12
Angle
26.57
degrees
Pitch multiplier
1.118
Slope
50.0%
True roof area
1677 sq ft
Steep under OSHA's definition
Yes
Below the usual asphalt shingle minimum
No

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How we got 6.00 in 12

  1. Rise over run0.500
  2. As a pitch6.00 in 12
  3. As an angle26.57 degrees
  4. True area, footprint × multiplier1.118 × footprint = 1677 sq ft

Figures used

The rise per 12 above which OSHA calls a roof steep
4
The rise per 12 traditionally considered the minimum for asphalt shingles
2
Degrees in one radian
57.29577951308232
The run a pitch is stated against, in inches
12

2 sources cited further down. Checked Nov 2026 by Anil, developer of this site.

Working

How to measure a roof pitch

Stay off the roof if you can. The attic gives you the same number. Hold a level against the underside of a rafter so it sits flat, mark 12 inches along the level, then measure straight up from that mark to the rafter. That measurement is your rise per 12, and it is the same pitch as the roof above.

With no attic access, look for the building plans, an old roofing quote or an inspection report. You can also work from a photo taken square on to the gable, by measuring the rise and half the width on the picture itself. The ratio holds at any scale, and it is good enough for planning.

12 in run6 in rise26.6°26.6 degrees
A 6 in 12 roof. The rise is the side going up, the run is the side going across, and the multiplier comes from the sloped side.

Measure the footprint from the ground, and include the overhangs, since those carry shingles too. Do not use the house's floor area. If different parts of the roof have different pitches, measure each as its own plane, as the IKO guide does.

A worked example

This one is printed in IKO's estimating guide: a roof with one plane of 1,302 square feet at 9 in 12, and another of 643 square feet at 6 in 12. These lines come from the same formula the calculator above runs.

IKO's two-plane roof

  1. 9 in 12 multiplier: 1.250
  2. 1,302 × 1.250 = 1627.5 sq ft
  3. 6 in 12 multiplier: 1.118
  4. 643 × 1.118 = 718.9 sq ft
  5. Total: 2347 sq ft of roof

IKO gets the same 2347 square feet from its printed table, then adds 10 percent for waste. To turn that into bundles, take the area to the roofing calculator. If the walls are being re-covered too, the siding calculator takes the same pitch for its gables.

Roof pitch conversions

Whole-number pitches from a low shed to a steep gable. Rows up to 4 in 12 are low slope under OSHA's definition, and IKO treats 2 to 4 in 12 as low slope for shingles too.

Worked out by this calculator.
PitchDegreesSlopeMultiplier
2 in 129.4616.7%1.014
3 in 1214.0425.0%1.031
4 in 1218.4333.3%1.054
5 in 1222.6241.7%1.083
6 in 1226.5750.0%1.118
7 in 1230.2658.3%1.158
8 in 1233.6966.7%1.202
9 in 1236.8775.0%1.250
10 in 1239.8183.3%1.302
12 in 1245.00100.0%1.414

Mistakes that give the wrong pitch

  • Mixed units. A rise in inches over a run in feet gives a nonsense answer. Measure both in inches.
  • Pitch against span. Older texts write pitch as rise over the whole span, not the run, so a 1/4 pitch and a 6 in 12 slope are the same roof. IKO warns about exactly this.
  • One multiplier for a mixed roof. A multiplier is right only for the plane with that pitch.
  • Leaving out the overhang. The footprint is the area under the roof, not under the walls.
  • Treating a number as permission. Whether a roof can be walked on depends on surface, weather and footwear, and no chart decides that.

Questions

What is a 6/12 pitch in degrees?

A 6/12 pitch is 26.57 degrees. It rises 6 inches for every 12 across, which is a 50 percent slope, and it has a pitch multiplier of 1.118.

What angle is a 4/12 roof pitch?

A 4/12 roof pitch is 18.43 degrees, or a 33.3 percent slope. It is also the line where OSHA's definition changes: above 4 in 12 is steep, and at or below it is low slope.

What is a roof pitch multiplier?

It is the number you multiply a roof's flat footprint by to get its true sloped area. A 6/12 roof has a multiplier of 1.118, so a 1,000 square foot footprint is about 1,118 square feet of roof.

Can you shingle a 3/12 pitch roof?

Often yes, with extra care. IKO says 2:12 has traditionally been the absolute minimum for asphalt shingles, and treats 2:12 to 4:12 as low slope, while 4:12 is the usual lowest for a standard installation. Some shingles ask for more, so read the label and your local code.

What roof pitch is walkable?

No code or manufacturer we read sets a walkable limit, so we will not give one. It depends on the surface, the weather and your footing. OSHA calls anything over 4 in 12 steep for fall protection. Measure from the attic or from plans if you can.

How do I find my roof pitch without climbing up?

Measure from the attic. Hold a level against the underside of a rafter, mark 12 inches along it, and measure straight up to the rafter. That measurement is your rise per 12. Building plans or a roofer's report may also state it.

This roof pitch is a planning estimate from the numbers you entered, and a slope measured from the attic or a plan is safer than one measured on the roof. A pitch reading does not make a roof safe to walk on. Check the minimum slope on the shingle label, and confirm what your supplier and local code allow.

Sources and review

Checked in November 2026. Spotted a wrong number? Report it and it goes in the corrections log.

How this is calculated

Every figure below is read from the code that produces the answer, so what is written here is what the calculator ran. The constants were last checked against their sources in November 2026.

The arithmetic

Angle

Angle = arctangent(Rise ÷ Run)

Rise
How far the roof goes up
Run
How far it goes across, in the same unit

Worked through: arctangent(6 ÷ 12) = 26.57 degrees

Pitch multiplier

Multiplier = √(1 + (Rise ÷ Run)²)

Multiplier
What to multiply a footprint by to get the sloped area

Worked through: √(1 + 0.25) = 1.118

True roof area

Roof area = Footprint × Multiplier

Footprint
Horizontal area, in square feet

Worked through: 643 × 1.118 = 719 sq ft

The constants, and where they come from

OSHA_STEEP_ABOVE

Published figure

The rise per 12 above which OSHA calls a roof steep

4

Applies to: Fall protection on construction work. It is not a rule about who can walk on what

Source: 29 CFR 1926.500, fall protection definitions, Occupational Safety and Health Administration, published 2026, read 2026-11.

29 CFR 1926.500 defines a steep roof as a slope greater than 4 in 12, and a low-slope roof as 4 in 12 or less.

SHINGLE_ABSOLUTE_MINIMUM

Published figure

The rise per 12 traditionally considered the minimum for asphalt shingles

2

Applies to: Asphalt shingles. Some products ask for more, so read the label

Source: Minimum slope for an asphalt shingle roof, IKO, published 2023, read 2026-11. This source is about 3 years old, and it is the one the figure rests on.

IKO says 4:12 is most commonly considered the lowest slope for a standard installation, and that 2:12 to 4:12 is low slope.

DEGREES_PER_RADIAN

Definitional

Degrees in one radian

57.29577951308232

Applies to: Definitional, everywhere

True by definition, so there is nothing to cite. The derivation is below.

A half turn is 180 degrees or pi radians, so one radian is 180 divided by pi, about 57.3 degrees.

INCHES_OF_RUN

Definitional

The run a pitch is stated against, in inches

12

Applies to: Definitional, everywhere

True by definition, so there is nothing to cite. The derivation is below.

A pitch of 6 in 12 means 6 inches of rise over 12 inches of run, by the way the trade writes it.

What the labels mean

Published figure:
taken directly from the source named beside it.
Definitional:
true by definition, like the number of inches in a foot, so there is nothing to cite.

If a figure here looks wrong, it may be. Tell us what you found and we will check it against the source and publish a correction if it needs one. How constants are chosen and how often they are reviewed is set out in our methodology.

How to use the roof pitch calculator

  1. 1

    Choose whether you know the rise and run, or the angle

  2. 2

    Enter them, in the same unit

  3. 3

    Read the pitch, angle, slope and multiplier

  4. 4

    Enter the footprint for the true area of a roof plane

  5. 5

    Take that area to the roofing calculator to size the shingles

What this calculator assumes

Every estimate here rests on the assumptions below. Where your job differs from one of them, the figure will differ too.

  • The roof area is right only when the whole footprint shares one pitch. Split a mixed roof into planes
  • The footprint is the horizontal area under the roof, including the overhangs
  • Rise and run are measured in the same unit
  • This roof plane is flat, with no valleys, hips or dormers

Pro tips

  • Measure from the attic, not from the roof
  • Split a roof into planes when more than one pitch is involved
  • Read the minimum slope on the shingle wrapper before planning a low roof