tooloctopus.

Roof pitch calculator

Pitch as rise per 12 run = rise ÷ horizontal run × 12. Angle = arctan(rise ÷ run).

On your device · No account
Privacy details

Roof pitch calculator processes your input in this browser. Inputs and results are excluded from analytics. Recent tools save tool names, visit counts and last-visit times. Saved tools store only their names. Draft saving is optional and stays on this device; delete saved text with the draft controls. Loading text from a URL is optional and contacts that server; its URL and your IP address are visible to the server. An optional “Use in” action keeps a handoff in this tab. The next tool removes it on arrival and ignores it if more than a minute has passed.

Copy link includes the inputs you choose to share in the address. Anyone with that link can reopen them. Files and generated results are excluded. Password and key tools share settings only.

Answer

…

Pitch as rise per 12 run = rise ÷ horizontal run × 12. Angle = arctan(rise ÷ run).

More results
Precision and calculation record
Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.
Step-by-step calculation
Inputs are substituted below. Each line evaluates the next operation; intermediate values are displayed to 12 significant digits while the calculation uses full precision.
    Saved scenario
    Save the current answer, then change an input to compare. This clears when you leave.
    Formula and assumptions
    Rise and horizontal run use the same unit. Do not enter the sloping roof length as run. This is geometry, not a roofing-material or building-code recommendation.
    Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.
    Scratch calculator
    Use +, −, ×, ÷, parentheses and %. A percentage is divided by 100. This does not change the main tool.
    Reset reloads the tool with its starting values and releases open files and device controls. Saved drafts stay on this device until you delete them.
    Links include your inputs and settings. Anyone with the link can see them, so leave out private text. Files and generated results are left out; random draws run again.
    Keyboard shortcuts
    Updated 
    Using Roof pitch calculator
    Pitch as rise per 12 run = rise ÷ horizontal run × 12. Angle = arctan(rise ÷ run).
    Rise and horizontal run use the same unit. Do not enter the sloping roof length as run. This is geometry, not a roofing-material or building-code recommendation.
    Next: Fence calculator
    A worked example
    With rise = 6, horizontal run = 12, the roof pitch (rise per 12 run) is 6.
    Next: Board foot calculator
    Before you use the result
    Rise and horizontal run use the same unit. Do not enter the sloping roof length as run. This is geometry, not a roofing-material or building-code recommendation.
    Example results for rise
    These examples use Horizontal run: 12. They are reference calculations, not recommended settings.
    RiseRoof pitch (rise per 12 run)
    33
    66
    1212
    Cite this page
    ToolOctopus. “Roof pitch calculator.” Updated 2026-09-26. https://tooloctopus.com/roof-pitch-calculator.
    Add an access date if your instructions require one.
    Citation formatting uses citeproc-js by Frank Bennett and Citation Style Language styles. Licence and source code.
    Find a tool
    Search by task. Use ↓ and ↑ to choose, Enter to open.