roof calculator
Hip Rafter Calculator
The Hip Rafter Calculator uses the same tested calculation engine as the Rafter Length Calculator. The implemented formula is length = √(run² + rise²). The variant context is plan run follows the diagonal from corner to ridge, but that extra geometry is not calculated separately by this tool. Use the numerical result for planning, then verify the type-specific layout, connections, local code, and structural requirements before construction.
Calculated result
175.5 in
Rafter length uses the roof-triangle hypotenuse and extends the same slope through the overhang.
- Roof angle
- 22.62°
- Slope factor
- 1.0833
Printable result and cut list
| Item | Value | Job note |
|---|---|---|
| Primary result | 175.5 in | Verify before cutting or ordering. |
| Roof angle | 22.62° | Calculated from the entered dimensions. |
| Slope factor | 1.0833 | Calculated from the entered dimensions. |
| Formula | Expression | Note |
|---|---|---|
| Implemented formula | length = √(run² + rise²) | Round the final result, not each intermediate value. |
How the rafter length calculation works
Enter the job dimensions in the form. The calculator normalizes the values, applies length = √(run² + rise²), and updates the main result, supporting values, diagram labels, and print table together.
The first displayed example is calculated during the static build. That makes the formula and a complete numerical result readable in page source, while the browser script handles later input changes.
Worked example
The prefilled values form a complete common rafter length example. Change one field at a time and compare the updated result with the formula table to catch unit or transcription mistakes.
Common errors to avoid
- Mixing nominal and actual material dimensions.
- Entering diameter where the formula expects radius, or total run where it expects one tread.
- Rounding every intermediate value instead of rounding the final purchase or cut quantity.
- Treating a planning result as a stamped structural design or local-code approval.
Guide cluster
Hip Rafter guides
Rafter Length: How to Measure the Inputs
Rafter Length: How to Measure the Inputs with a practical sequence for measurement order, datum selection, and unit consistency, a worked calculation, and links to the live tool and printable chart.
Rafter Length: Formula and Worked Example
Rafter Length: Formula and Worked Example with a practical sequence for formula order, intermediate values, and final rounding, a worked calculation, and links to the live tool and printable chart.
Rafter Length: Common Mistakes to Avoid
Rafter Length: Common Mistakes to Avoid with a practical sequence for input mix-ups, premature rounding, and field-condition errors, a worked calculation, and links to the live tool and printable chart.
Rafter Length: Material Planning Guide
Rafter Length: Material Planning Guide with a practical sequence for net quantity, waste, stock sizes, and purchase rounding, a worked calculation, and links to the live tool and printable chart.
Rafter Length: Code and Safety Checks
Rafter Length: Code and Safety Checks with a practical sequence for source boundaries, local rules, and professional verification, a worked calculation, and links to the live tool and printable chart.
Rafter Length: Printable Job-Sheet Workflow
Rafter Length: Printable Job-Sheet Workflow with a practical sequence for record keeping, revision control, and field handoff, a worked calculation, and links to the live tool and printable chart.
Frequently asked questions
What makes the hip rafter layout different?
Its plan geometry changes the run, turning point, or rafter relationship. This page keeps that geometry explicit instead of treating every project as a straight layout.
Is the diagram drawn to scale?
The default SVG is proportioned from the entered rise and run. Dimensions in the result table govern; never scale a construction cut directly from the screen.
Can I print the result?
Yes. The print view keeps the diagram, formula, result table, and verification notes while hiding navigation and app promotion.
Does the calculator approve the design?
No. It is a planning tool. Verify the design against current local code, manufacturer information, and structural requirements.
Related pages
More calculators
iPhone companion
Keep jobsite math available offline
The website calculators and charts stay free. The BuildMath iPhone app keeps its supported construction calculations available when the jobsite has no connection.
View BuildMath on the App StoreLast reviewed .