Roof Area & Pitch Calculator — m, degrees, m²

Footprint in m, cm · Degrees · Pitch factor · Rafter length · Gable, hip, shed
Eurocode 1 / EN 1991
Switch to Imperial version →

How to use this calculator

Calculate actual roof area from building footprint and pitch in metric. Three input modes: footprint + angle in degrees, rise + run measurements in meters, or direct angle entry. Choose roof shape (gable, hip, shed) and add extra sections for complex roofs. Includes SVG pitch profile diagram.

Pitch factor (PF) = 1 / cos(angle). Multiply footprint area by PF to get true roof surface area.
Multi-section — Add additional roof sections with independent pitch for dormers or extensions.

15° = 3.2:12 20° = 4.4:12 30° = 6.9:12 45° = 12:12 PF = 1/cos(θ)
Input Mode
°
Roof Profile
Additional Roof Sections
Add extra sections for complex roofs.
Results
Pitch Conversion
Angle
degrees
Rise : Run (per 12)
:12 equivalent
Pitch Factor
multiplier
Rafter per m of Run
m
Area
Footprint Area
Actual Roof Area
Rafter Length
m
Ridge Length
m

Saved Calculations

TimeShapeAnglePFFootprint m²Roof Area m²Rafter m
No saved calculations

How to Calculate Roof Area from Pitch (Metric)

This calculator converts between pitch angle (degrees) and rise:run ratio, and calculates actual roof surface area from building footprint. Supports gable, hip, and shed shapes with multi-section capability for complex roofs.

Formulas

Pitch factor = 1 / cos(angle°). Rafter length = run / cos(angle°). Rise = run × tan(angle°). Roof area = footprint area × pitch factor. The rise:run equivalent shows the pitch in the common X:12 format.

Common Angles

10° (low slope) · 15° (minimum for tiles) · 20° (standard) · 30° (steep) · 45° (very steep, 12:12 equivalent).

Misha Noyr, M.Eng.

Misha Noyr, M.Eng.

Civil Engineer · 15+ yrs · structural design, geotechnics. Full bio →