Free · Roofing calculators 🏠

Roof Slope Area & Entered Unit Cost

Convert horizontal projected area into a uniform-pitch surface area and apply an entered price per area unit.

  • Formula & worked example
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

A horizontal projection of 80 m² at a 9:12 rise-to-run pitch has surface area 100 m². At 30 per m², the entered area-based cost is 3,000.

Pitch = rise/run = tangent(angle); surface area = horizontal area ÷ cosine(angle); cost = surface area × entered unit cost

Worked example

Enter these known values and leave the other values blank.

Horizontal projected length
10 m
Horizontal projected width
8 m
Rise for 12 units of run
9 :12
Entered cost per selected area unit
30 USD / m²
Horizontal projected area
80 m²
Slope angle from horizontal
36.87 deg
Rise-to-run slope as percent
75 %
Uniform-slope surface area
100 m²
Area-based cost
3000 USD

Assumptions and limitations

  • Horizontal projected dimensions or area are positive. The model assumes the same slope magnitude over the full projection; different-pitch sections need separate calculations.
  • Slope ranges from zero to less than 90 degrees. A flat surface has the same area as its horizontal projection.
  • Include overhangs in the horizontal projection if they should count. Dormers, complex transitions, waste, overlaps, penetrations and extra material layers are not added automatically.
  • Entered unit cost and total cost are nonnegative arithmetic inputs. The tool does not estimate structural capacity or choose a roofing system.

Common questions

Is 9:12 pitch the same as nine degrees?

No. It means rise/run = 9/12 = 0.75, or 75% slope. Its angle is the inverse tangent of 0.75.

Should I use the sloped length as the projected length?

No. Enter horizontal projected dimensions. The cosine factor then converts the projection to the sloped area.

References

Bookify includes the valid flat-roof and zero-cost boundaries while retaining positive projected area and slopes below 90 degrees.

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