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Roof Pitch Calculator

Convert between rise/run, degrees, and x/12 roof pitch, and compute rafter length with overhang.

Processed locally in your browser — nothing is uploaded.

Roof Pitch Calculator

Inches of rise per 12 in of run

Usually half the building width — leave blank to skip

Results

Pitch
6/12
Angle
26.57°
Slope
50%
Pitch multiplier
1.118

Sloped length per foot of horizontal run

Rafter length is plumb-cut to plumb-cut along the slope; add for ridge boards and seat cuts.

About Roof Pitch Calculator

Start from whichever number you have — a measured rise and run, a pitch like 6/12, or an angle in degrees — and get all three plus the slope percentage and pitch multiplier. Add a horizontal run and overhang to get the rafter length via the Pythagorean theorem.

Common uses

  • Translate a 26.6° measurement into a 6/12 pitch
  • Cut rafters to length for a shed roof with a 1 ft overhang
  • Find the pitch multiplier for shingle takeoffs

Example

Input

Pitch 6/12, run 12 ft, 1 ft overhang

Output

26.57° · 50% slope · multiplier 1.118 · rafter 14.53 ft

Limitations

  • Rafter length is the plain slope diagonal — ridge-board thickness and birdsmouth cuts are extra

Frequently asked questions

What angle is a 6/12 roof pitch?

26.57 degrees. The conversion is arctan(rise ÷ run): a 4/12 pitch is 18.43°, 8/12 is 33.69°, and 12/12 is exactly 45°.

What is a roof pitch multiplier?

The factor that converts a roof's flat footprint into its true sloped area: √(1 + (pitch/12)²). A 6/12 roof has a multiplier of 1.118, meaning every 100 sq ft of footprint is 111.8 sq ft of actual roof surface.

How do I measure the pitch of an existing roof?

Hold a level horizontally against the roof (or a rafter in the attic), mark 12 in along it, and measure straight down from that mark to the surface — that vertical distance in inches is your rise per 12, e.g. 6 in means a 6/12 pitch. Enter the rise and run here to get the angle and slope.

How do I calculate rafter length from the pitch?

Multiply the horizontal run (plus any level overhang) by the pitch multiplier — the Pythagorean theorem in disguise. A 12 ft run with a 1 ft overhang at 6/12 gives 13 × 1.118 = 14.53 ft; add extra for the ridge-board offset and birdsmouth before cutting.

Are the numbers I enter sent to a server?

No. All the pitch, angle, and rafter math runs in your browser — measurements are never transmitted or stored.