Calculadora de Área y Pendiente del Techo — ft, elevación:recorrido, grados

Footprint + pitch · Rise:run · Degrees · Rafter length · Gable, hip, shed
ASCE 7 / IRC
Cambiar a versión Métrica →

Cómo usar esta calculadora

Calculate actual roof area from building footprint y pitch. Enter dimensions three ways: footprint + pitch (rise per 12″), rise + run measurements, or angle in degrees. Choose roof shape — gable, hip, or shed — y get instant results including pitch factor, actual area, rafter length, y an SVG profile diagram.

Multi-section — Add additional roof sections for complex roofs.
Factor de pendiente — The multiplier applied to footprint area to get true roof surface area, accounting for the slope.

4:12 = 18.4° 6:12 = 26.6° 8:12 = 33.7° 12:12 = 45° PF = √(1+(rise/12)²)
Input Mode
ft in
ft in
Roof Profile
Additional Roof Sections
Add extra sections for complex roofs (dormers, extensions).
Resultados
Pitch Conversion
Rise : Run
per 12″
Ángulo
degrees
Factor de Pendiente
multiplier
Rafter Length per ft of Run
Área
Footprint Area
ft²
Actual Roof Area
ft²
Cuadros de Techo
(100 ft²)
Rafter Length
Longitud de Cumbrera

Cálculos Guardados

HoraShapePendienteFootprint ft²Roof Area ft²CuadrosRafter
No hay cálculos guardados

Cómo Calcular el Área del Techo from Pitch

This utility calculator converts between roof pitch formats (rise:run, degrees, pitch factor) y calculates the actual roof surface area from building footprint dimensions. It supports gable, hip, y shed roof shapes with multi-section capability for complex roof geometries.

Fórmulas

Pitch factor (PF) = √(1 + (elevación/12)²). Ángulo = arctan(rise/12) in degrees. Rafter length = run × PF. Gable area = footprint area × PF. Hip area ≈ footprint area × PF × 1.0 (same PF, all 4 sides sloped). Shed area = footprint area × PF (single slope).

Common Pitches

2:12 = 9.5° (low slope, minimum for shingles) · 4:12 = 18.4° (standard residential) · 6:12 = 26.6° (steep) · 8:12 = 33.7° (very steep) · 12:12 = 45° (equal rise y run).

Preguntas Frecuentes

What is a roofing square? One square = 100 ft² de área del techo. Roofing materials are often sold by the square.
How does hip differ from gable? A hip roof has all four sides sloped. The pitch factor applies to all sides, but the total footprint cobertura is the same — both use PF × footprint area for actual roof area.

Misha Noyr, M.Eng.

Misha Noyr, M.Eng.

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