📐 Roof Pitch Calculator: Pitch, Angle & Rafter Length

Find your roof pitch and angle in seconds.

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Formula at a glance

Roof Pitch Calculator: Pitch — 12 × rise ÷ run. Example: 6 in rise per 12 in run → Roof pitch: 6/12
How the Roof Pitch Calculator works: Pitch — 12 × rise ÷ run

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📘 About the Roof Pitch Calculator

Roof pitch is the rise in inches for every 12 inches of horizontal run, written like 6/12. The angle is arctan(rise ÷ run) — a 6/12 roof is 26.6°.

With the building span, the rafter length (without overhang) is half the span × the pitch multiplier, and the ridge height is half the span × rise ÷ run.

🧮 Formula

Pitch
12 × rise ÷ run
Angle
arctan(rise ÷ run)

✏️ Worked examples

6 in rise per 12 in run

You enter
Rise6
Run12
Building span (optional, same unit)30
You get
Roof pitch6/12
Angle26.57°
Slope50%
Pitch multiplier1.118
Rafter length (no overhang)16.771 (same unit as span)
Ridge height above wall7.5

6/12 = 26.57°.

Rise 1.2 m over a 3 m run

You enter
Rise1.2
Run3
Building span (optional, same unit)6
You get
Roof pitch4.8/12
Angle21.8°
Slope40%
Pitch multiplier1.077
Rafter length (no overhang)3.231 (same unit as span)
Ridge height above wall1.2

4.8/12, 21.8°.

🧭 How to use this calculator

What you enter

  • Rise
  • Run
  • Building span (optional, same unit)

What you get

  • Roof pitch
  • Angle
  • Slope
  • Pitch multiplier
  • Rafter length (no overhang)
  • Ridge height above wall

❓ Frequently asked questions

What angle is a 4/12 roof?

18.4°.

What is the most common roof pitch?

Between 4/12 and 9/12 for houses; 6/12 (26.6°) is very common.

What is the minimum pitch for shingles?

2/12 with special underlayment; 4/12 for standard installation.

How do I measure roof pitch?

Hold a level horizontally 12 inches from the roof and measure the vertical distance up to the roof surface.