Hip Roof Calculator

Calculate hip roof area, materials, and compare hip vs gable roof costs

Calculate hip roof area with ridge length and hip geometry

Quick presets

ft
ft

Estimated Materials

0 bundles

0.0 squares • 0 sq ft

PRO

Professional Calculator

Extended parameters for precise calculations

sq ft

Estimated Materials

60 bundles

Roof Area

1,792 sq ft

Squares

17.9

Detailed Breakdown

Roof Area1,792 sq ft
With Waste1,971 sq ft
Roofing Squares17.9
Bundles60
How to Use This Calculator
The Hip Roof Calculator handles the complex geometry of hip roofs so you do not have to:

Area Calculator tab: Enter your building length, width, pitch, overhangs, and select the hip roof type (standard, square/pyramid, or cross-hip). The calculator uses hip roof geometry — where the ridge is shorter than the building length — to compute the exact surface area of all four sloped sides. It accounts for the trapezoidal shape of the two long sides and the triangular shape of the two hip ends, properly adjusted for slope. This gives you the accurate area needed for material ordering.

Material Estimate tab: Based on the area calculation, this tab produces a complete material list optimized for hip roof geometry. Hip roofs have higher waste (12-15%) due to the angled cuts along hip lines, and they need hip cap material in addition to ridge cap. The calculator accounts for these differences and provides shingle bundles, hip/ridge cap bundles, underlayment, starter strip, drip edge (all four eaves), and fastener quantities.

Hip vs Gable Comparison tab: Enter building dimensions and pitch to see a side-by-side comparison of hip and gable roof options for the same building. The calculator compares surface area, material quantities, waste factor, total cost, wind resistance rating, and insurance implications. This helps you make an informed decision about which roof type is right for your project, especially if you are in a high-wind area.

The Formula
The hip roof calculation uses these geometry formulas:

Ridge Length = Building Length - Building Width (for a standard rectangular hip) For a square hip (pyramid): Ridge Length = 0

Common Rafter Length = (Building Width / 2) x Pitch Multiplier Hip Rafter Length = (Building Width / 2) x Hip Pitch Multiplier Hip Pitch Multiplier = sqrt(1 + (rise/12)^2 + 1) — accounts for diagonal run at 45°

Trapezoidal Side Area (x2) = ((Building Length + Ridge Length) / 2) x Common Rafter Length Triangular End Area (x2) = (Building Width / 2) x Common Rafter Length

Total Hip Roof Area = 2 x Trapezoidal Area + 2 x Triangular Area + Overhang Area

Hip Cap Length = Ridge Length + 4 x Hip Rafter Length Hip Cap Bundles = Hip Cap Length / 25 ft per bundle
Example Calculation
Example: Standard Rectangular Hip Roof — 50x30 ft Building at 6/12 Pitch

Step 1: Calculate geometry
• Ridge length: 50 - 30 = 20 ft
• Pitch multiplier (6/12): 1.118
• Common rafter length: 15 x 1.118 = 16.77 ft
• Hip rafter length: 15 x 1.50 = 22.5 ft (diagonal at 45°)

Step 2: Calculate area (with 1 ft overhang on all sides)
• Adjusted building: 52 x 32 ft
• Adjusted ridge: 52 - 32 = 20 ft
• Common rafter with overhang: (16 + 1) x 1.118 = 19.0 ft
• Two trapezoidal sides: 2 x ((52 + 20) / 2) x 19.0 = 1,368 sq ft
• Two triangular ends: 2 x (32 / 2) x 19.0 = 608 sq ft
• Total roof area: 1,976 sq ft

Step 3: Materials (architectural shingles, 12% waste)
• Squares: 19.8
• Bundles: 19.8 x 3 x 1.12 = 66.5 → 67 bundles ($2,345)
• Hip/ridge cap: 20 + (4 x 22.5) = 110 ft → 5 bundles ($175)
• Underlayment: 1,976 / 400 = 5.0 → 5 rolls ($150)
• Drip edge: (52 + 52 + 32 + 32) / 10 = 17 pieces ($85)
• Materials total: ~$2,755

Hip vs Gable comparison for same 50x30 ft building:
• Hip roof area: 1,976 sq ft | Gable roof area: 1,874 sq ft (+5.4%)
• Hip material cost: $2,755 | Gable material cost: $2,210 (+24.7% for hip)
• Hip wind rating: Excellent | Gable wind rating: Good
• Hip adds ~$545 in materials but provides superior wind resistance

Frequently Asked Questions

How do you calculate hip roof area?
A standard rectangular hip roof has two trapezoidal sides and two triangular ends. For a building that is L long and W wide with pitch P: Ridge Length = L - W. Each trapezoidal side area = ((L + Ridge Length) / 2) x Rafter Length. Each triangular end area = (W / 2) x Hip Rafter Run x Pitch Multiplier. Total area is the sum of all four sides plus overhangs. For a 50x30 ft building at 6/12 pitch: total area is approximately 1,870 sq ft.
How much more does a hip roof cost than a gable roof?
A hip roof typically costs 15-25% more than a gable roof of the same footprint. The extra cost comes from: more complex framing (hip rafters, jack rafters), slightly more roof area (the same footprint produces 3-5% more surface), more waste due to angled cuts (12-15% vs 7-10%), and additional hip cap material. For a typical home, this adds $2,000-5,000 to the total project cost.
Is a hip roof better than a gable roof?
Hip roofs are better for wind resistance (all four sides slope, reducing wind uplift by up to 30%), and they are required or recommended in hurricane zones. They also look more finished from all angles. Gable roofs are better for cost (15-25% cheaper), attic space (more usable area and ventilation), and simplicity of construction. In high-wind regions, hip roofs may also qualify for insurance discounts of 5-15%.
What is the ridge length on a hip roof?
On a standard rectangular hip roof, the ridge length equals the building length minus the building width: Ridge = L - W. For a 50x30 ft building, the ridge is 50 - 30 = 20 ft. On a square hip (pyramid) roof where L = W, the ridge length is zero — all four sides meet at a single peak point. The ridge is always shorter than the building length, which is a key geometric difference from a gable roof.
How many hip cap shingles do I need?
Hip cap covers both the ridge and the four hip lines. Total hip cap length = Ridge Length + 4 x Hip Rafter Length. For a 50x30 ft building at 6/12 pitch: Ridge = 20 ft, each hip rafter ≈ 19 ft. Total = 20 + (4 x 19) = 96 ft. At 25 lineal feet per bundle of hip/ridge cap, you need 4 bundles. Always round up and add one extra bundle for waste.

Related Calculators

Gable Roof Calculator

Calculate gable roof area and materials

Roof Area Calculator

General roof area calculator

Roof Pitch Calculator

Find your roof pitch

Shingle Calculator

Calculate shingles from roof area

Rafter Length Calculator

Calculate rafter and hip rafter lengths

Roof Replacement Cost Calculator

Estimate total replacement cost

Related Guides & Resources

Roofing Materials Comparison Metal Roof Guide Flat Roof Guide