Hip Roof Area Calculator

Calculate the total surface area of a hip roof from building dimensions and pitch. Estimate shingles, underlayment, and ridge cap materials.

Total Roof Area
1,955.00 sq ft
Footprint 1,749.00 × slope factor 1.118
Adjusted Area (+15% waste)
2,249.00 sq ft
Includes hip cut waste factor
Roofing Squares
22.49
1 square = 100 sq ft of roof
Ridge Length
20 ft
Central ridge (length − width)
Hip Rafter Length
24.8 ft
Diagonal rafter from corner to ridge
Common Rafter
18.4 ft
Standard rafter from eave to ridge
Material Cost
$7,870.65
22.49 sq × $350.00/square
Hip Side Area
304.4 sq ft
Triangular hip end area (each)

Area Breakdown

Usable roof area1,955.00 sq ft (86.9%)
Waste allowance294.00 sq ft (13.1%)

Common Roof Pitches & Slope Factors

PitchSlope FactorAngle (°)Steepness
2:121.01389.5°Low
3:121.030814°Low
4:121.054118.4°Low
5:121.083322.6°Medium
6:121.118026.6°Medium
7:121.157730.3°Medium
8:121.201933.7°Medium
9:121.250036.9°Steep
10:121.301739.8°Steep
12:121.414245°Steep
14:121.536649.4°Steep
16:121.666753.1°Steep

Material Cost per Square

MaterialCost / SquareLifespanWeight
Asphalt Shingles$35020–30 yrs230–250 lbs/sq
Standing Seam Metal$70040–60 yrs100–150 lbs/sq
Clay / Concrete Tile$90050–100 yrs900–1,200 lbs/sq
Wood Shake$65025–40 yrs350–450 lbs/sq
Natural Slate$1,20075–150 yrs800–1,500 lbs/sq
Planning notes, formulas, and examples

About the Hip Roof Area Calculator

A hip roof slopes on all four sides, meeting at a ridge (for rectangular buildings) or a single peak (for square buildings). Hip roofs are popular for their wind resistance and clean appearance, but calculating their area is more complex than a simple gable because the roof consists of two trapezoidal planes and two triangular planes.

This hip roof area calculator simplifies the process by taking your building's length, width, and uniform pitch. It computes the area of each face, sums them, and applies a waste factor so you can order shingles, underlayment, and accessories with confidence.

Accurate hip roof area estimation is critical for contractors preparing bids and homeowners budgeting a re-roof. The hip configuration generates more waste than a gable due to the angled cuts along hip lines, so a slightly higher waste factor (12–15%) is recommended.

When This Page Helps

Hip roofs have four sloping faces with diagonal hip lines that complicate manual area calculations. A small math error multiplied across four faces can lead to significant material shortages or overages. This calculator eliminates guesswork, giving you the true surface area in seconds so you can order the right quantity and budget accurately.

How to Use the Inputs

  1. Measure the building length (the longer dimension at the eave line).
  2. Measure the building width (the shorter dimension at the eave line).
  3. Determine the roof pitch in rise per 12 inches of run.
  4. Enter a waste factor (12–15% recommended for hip roofs).
  5. Review the total area, adjusted area, and roofing squares.
  6. Use the result to order field shingles, hip/ridge cap, and underlayment.
Formula used
Slope Factor = √(1 + (pitch/12)²) Hip Factor = √(1 + (pitch/12)² + 1) [diagonal] For a rectangular hip roof: Ridge Length = Building Length − Building Width Two Trapezoids: Area each = ((Ridge Length + Building Length) / 2) × (Width/2) × Slope Factor Two Triangles: Area each = (Building Width / 2) × (Width/2) × Slope Factor Total = 2 × Trapezoid + 2 × Triangle Simplified: Total = Building Length × Building Width × Slope Factor

Example Calculation

Result: 1,878.2 sq ft (adjusted)

Slope factor = √(1 + 0.25) = 1.1180. Footprint area = 50 × 30 = 1,500 sq ft. Sloped area = 1,500 × 1.1180 = 1,677.1 sq ft. With 12% waste: 1,677.1 × 1.12 = 1,878.3 sq ft, or about 18.78 roofing squares.

Tips & Best Practices

  • Hip roofs generate 12–15% waste due to angled cuts along hip lines — plan accordingly.
  • Include eave overhangs in your measurements for accurate material totals.
  • Order hip and ridge cap shingles separately based on total hip line and ridge length.
  • For a square building the ridge length is zero and the roof forms a pyramid shape.
  • Check that all four sides share the same pitch; mixed-pitch hips require separate calculations per face.
  • Synthetic underlayment rolls cover more area per roll than traditional felt — verify before ordering.

Understanding Hip Roof Geometry

A hip roof on a rectangular building has four faces: two trapezoids along the long sides and two triangles at the short ends. The diagonal lines where adjacent slopes meet are called hip lines. These hip lines run from each corner of the eave to the end of the ridge. On a square building, all four faces are identical triangles and there is no ridge — the roof forms a pyramid.

Why Slope Factor Works for Hip Roofs

The slope factor method multiplies the footprint area by √(1 + (pitch/12)²). This works because every unit of horizontal footprint corresponds to a larger sloped surface. The beauty of this approach is that it applies uniformly to any roof shape as long as all faces share the same pitch. For a uniform-pitch hip roof, total sloped area = footprint area × slope factor.

Ordering Materials for Hip Roofs

Beyond field shingles, a hip roof requires hip and ridge cap shingles, which are either pre-formed or cut from standard shingles. Measure all four hip lines and the ridge to determine cap quantity. Also order enough starter strip for the full eave perimeter (all four sides), not just two sides as with a gable.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • A hip roof has slopes on all four sides, and each side meets neighboring sides along diagonal hip lines. On a rectangular building, two faces are trapezoids and two are triangles. Hip roofs are common in hurricane-prone regions because their aerodynamic shape resists wind uplift better than gables.