Hip & Dutch Hip · Pitch-Corrected · Cap Included

Hip Roof Shingle Calculator

Calculate shingles for a hip roof in one pass: footprint and pitch to true area, bundles at a 15% hip-roof waste preset, and the ridge-plus-four-hips cap length a gable calculator never counts. Dutch hip mode adds the gable-end rakes.

Presets:

Roof Inputs

Length (ft)

Width (ft)

Pitch (rise over 12)

Waste factor (hip default 15%)

15%

Planning defaults: architectural shingles at 32.3 ft²/bundle ($38/bundle), ridge cap at 33 lf/bundle, synthetic underlayment at 1,000 ft²/roll.

Your Hip Roof Estimate

1,342 ft²

Roof area · 13.4 squares

Bundles (+15% waste)

105 lf

Ridge + 4 hips

Cap bundles @ 33 lf

Synthetic rolls

$1,824

Material @ $38/bdl · 3,350 lb

Ridge 10 lf + hips 95 lf = 105 lf to cap

Order area 1,543 ft² = area × 1.15

Need a different shingle type, labor rate, or ZIP-code pricing? The main roof shingle calculator runs the full material list — or compare every specialized tool on the roofing calculators hub.

The Geometry

How to Calculate Shingles for a Hip Roof

If the plan is a clean rectangle, the field arithmetic is one line: roof area = length × width × √(1 + (rise/12)²). A 6/12 hip over 40 × 30 ft is 1,200 × 1.118 ≈ 1,342 ft² — the same number a gable of the same footprint produces, because the four hips exactly replace the two gable-end triangles they cut away. The pitch multiplier is the whole story; the hip shape does not add or remove field shingles.

Where the hip roof diverges is everything that runs along its edges. A gable caps one ridge line; a hip caps a short ridge (length − width) plus four hip lines, each running √2 (≈1.414) times the half-width in plan and stretching with pitch. On the 40 × 30 example that is a 10 ft ridge plus four 23.7 ft hips — 105 lf of capping against the gable’s 40. Divide cap footage by the wrapper figure (33 lf/bundle is typical) and round up: hip roofs buy cap by the extra bundle, not by the extra foot.

Step 1 — Footprint: measure building length × width at the eaves, including any overhang you plan to shingle.
Step 2 — Pitch multiplier: √(1 + (rise/12)²). A phone calculator handles it; 6/12 = 1.118, 8/12 = 1.202.
Step 3 — Field bundles: roof area × (1 + waste) ÷ wrapper ft² per bundle, rounded up to whole bundles.
Step 4 — Cap bundles: (length − width + 4 × half-width × 1.414 × multiplier) ÷ wrapper lf per bundle.
Step 5 — Deck layer: roof area ÷ roll coverage for underlayment — waste does not apply to rolls.

Plan view, 40 × 30 ft @ 6/12. Blue lines carry ridge cap; orange are the four hips. Each hip stretches from 21.2 ft in plan to 23.7 ft on the slope.

Suburban home with a four-slope hip roof covered in architectural asphalt shingles

Four planes, four hips, one short ridgePhoto: Unsplash

Hip vs Gable on the Same Footprint

The fastest way to answer “does a hip roof need more shingles?” is to put both roofs on identical plans. The field area columns match to the square foot — what changes is the cap column, and the extra bundles it buys at 33 lf per bundle.

Footprint (ft)	Pitch	Gable area (ft²)	Hip area (ft²)	Ridge lf (gable)	Ridge + hip lf	Extra cap bundles
40 × 30	6/12	1,342	1,342	40	104.9	+2
40 × 30	8/12	1,442	1,442	40	112.0	+2
60 × 40	6/12	2,683	2,683	60	146.5	+3
24 × 36	7/12	1,000	1,000	36	90.6	+1

Field area in the two middle columns is identical by geometry; cap bundles assume 33 lf per bundle, rounded up per roof. Steeper pitches widen the cap gap: the same 40 × 30 plan jumps from 40 lf of gable ridge to 112 lf of ridge-plus-hip at 8/12.

💡 Tip: order field shingles at 15% waste and caps separately — mixing cap footage into the field percentage is how hip jobs end up two bundles short on install day.

⚠️ Warning: an L-shaped or winged plan is not one hip roof. Break it into rectangles per section — a single-footprint shortcut can miss 10–15% of the real area on cut-up plans.

❌ Don’t: subtract dormers before adding their own little hips and ridges back in — a dormer’s roof usually makes the total area go up, not down.

Hip Rafter Length per Foot of Run

Cap footage depends on hip length, and hip length has a jobsite shortcut worth correcting. Crews say the hip runs “1.414 times the common rafter” — that is the flat plan-view diagonal √2, before pitch stretches the slope. The true multiplier is √(2 + (rise/12)²) per foot of common run, and the gap between the two is exactly the footage a cap order can come up short.

Pitch	Angle	Common rafter / ft of run	Hip rafter / ft of run	1.414 rule error
3/12	14.0°	1.031	1.436	-1.5%
4/12	18.4°	1.054	1.453	-2.7%
5/12	22.6°	1.083	1.474	-4.1%
6/12	26.6°	1.118	1.500	-5.7%
7/12	30.3°	1.158	1.530	-7.6%
8/12	33.7°	1.202	1.563	-9.5%
9/12	36.9°	1.250	1.601	-11.7%
10/12	39.8°	1.302	1.641	-13.8%
11/12	42.5°	1.357	1.685	-16.1%
12/12	45.0°	1.414	1.732	-18.4%

“Hip rafter / ft of run” = √(2 + (rise/12)²): the length of hip carried per horizontal foot of common-rafter run. The 1.414 rule assumes a flat diagonal — at 6/12 it under-measures each hip by 5.7%, about 1.3 ft on a 15 ft half-width.

Dutch Hip Mode

Dutch Hip Roof Shingles: the Gable End Runs

A Dutch hip is four hip planes with the top of each end swapped for a short gable — technically a “Dutch gable,” and it is the reason a Dutch hip roof shingle calculator needs one input no plain hip tool asks for: the gable-end run, measured horizontally from the end wall to where the hip planes take over. Enter it in Dutch mode and the calculator adds the four sloped rake edges (two per end) to the cap total at length × 1.414 × pitch multiplier each.

The field shingle count usually does not change, and that is the measurement trap worth stating twice: the Dutch gable end is normally a vertical wall wearing siding, not shingles. Measure it, confirm it is siding, and keep it out of the roof area — merging a 6 ft × 30 ft gable face into the order inflates a 40 × 30 roof by roughly 67 ft², about two bundles of architectural nobody needed. The exception is real: some Dutch gables are framed as small sloped roofs. If yours is roofed, measure each triangular face and add the total to your footprint before running the numbers.

Dutch mode adds gable-rake capping: 4 × gable run × pitch multiplier, in linear feet.
Field area stays footprint × multiplier — the gable end is siding, not roof.
If the gable end is actually roofed, measure both faces and add their combined area to the footprint.
Flashing where the hip plane meets the gable wall is a metal-bending line item, not a shingle one — price it separately.

End elevation. The triangular gable face is wall cladding; only its two sloped rake edges (orange) join the shingle order — as cap.

Why Hip Roofs Order 15% Waste — and Cap Like It’s Windy

Waste on a gable comes mostly from rake cuts and starter courses; waste on a hip adds a diagonal dimension. Every plane corner forces an angled cut, every hip line eats a trimmed piece at its base and its apex, and planes that meet at unequal pitches — standard on hipped additions — produce offcuts too short to reuse anywhere. Industry practice puts a simple gable near 10% and an average hip near 15%; this calculator ships at 15% and moves in whole percentages so the order change is always deliberate. Push toward 17–20% for cut-up plans, intersecting wings, or pitches of 10/12 and above.

Caps deserve their own paragraph because hips punish them twice. First, footage: four hips plus a ridge stretch cap length well past the gable baseline, as the comparison table above shows. Second, fastening and fabrication: manufacturer high-wind details call for longer nails and extra fasteners along hip lines, and hand-bent field-shingle caps — common where accessory bundles are back-ordered — waste a trimmed piece at every mitered hip joint. The working rule is 10–15% extra beyond the wrapper figure for hand-cut cap on hips, or simply buy the manufacturer’s hip/ridge accessory and let the printed coverage govern.

The order this page produces, in one sentence

48 field bundles + 4 cap bundles + 2 synthetic rolls for the default 40 × 30 @ 6/12 hip — a real, schedulable order. For the same footprint with a labor rate and ZIP-code band attached, run it through the roof shingle calculator on the homepage, then browse the rest of the roofing calculators for shape-specific tools like this one.

Hip Roof Shingle Questions

How do you calculate shingles for a hip roof?

Multiply the footprint by the pitch multiplier √(1 + (rise/12)²) to get true roof area — for a rectangular plan, a hip roof has exactly the same shingled area as a gable of the same footprint and pitch. Divide by 100 for squares, divide by the wrapper coverage (~32.3 ft² for architectural) for bundles, then add 15% waste. The step most estimates miss is the cap: a hip roof caps the ridge plus four hips, not just a ridge line, so cap bundles run two to four higher than the same footprint built as a gable.

Does a hip roof use more shingles than a gable roof?

Almost the same field shingles — the four sloped trapezoids and triangles of a hip roof sum to the same area as the two rectangles of a gable over an identical footprint. What a hip roof genuinely buys more of is ridge cap: a 40 × 30 ft plan at 6/12 carries about 105 linear feet of ridge-plus-hip against a gable's 40 ft of ridge, which is two extra cap bundles at the standard 33 lf per bundle. Steeper pitches stretch every hip line further, so the cap gap widens as the roof gets taller.

What waste factor should I use for a hip roof?

15% is the working default for a simple rectangular hip — every hip line forces angle cuts at the top and bottom of adjacent planes, and four corners cut twice as often as a gable's two rakes. Move to 17–20% when the plan is not a clean rectangle, when valleys join an intersecting wing, or when the pitch is 10/12 or steeper and crew handling adds damaged pieces. Ordering at the gable-standard 10% on a hip roof is the classic short-order mistake.

How many bundles of shingles do I need for a 40 × 30 hip roof?

At 6/12 with architectural shingles: 1,200 ft² of footprint × 1.118 = about 1,342 ft² of roof, +15% waste = 1,544 ft², ÷ 32.3 ft² per bundle = 48 bundles of field shingles. Add the cap: roughly 105 lf of ridge and hips ÷ 33 lf per bundle = 4 cap bundles. Two rolls of synthetic underlayment cover the deck. That is the calculator's default preset, and the arithmetic checks by hand in under a minute.

What is a Dutch hip roof, and does it change the shingle count?

A Dutch hip is a hip roof whose top ends are replaced by short gables — four sloped planes plus two small triangular end walls. Switch the calculator to Dutch mode and enter the gable-end run: the field shingle count stays hip-standard because the gable ends are normally vertical siding, but the two sloped rake edges on each gable need capping, and this page adds that length to the cap-bundle total. If your Dutch gables were framed as small sloped roofs rather than walls, measure their faces separately and add that area to your order.

How is ridge cap coverage counted on hips?

Manufacturers print hip-and-ridge coverage on the accessory wrapper — commonly 20, 25, 30, or 33 linear feet per bundle. This calculator uses 33 lf as its planning default; enter your wrapper's number in the cap coverage field and the bundle count follows. Two field adjustments matter on hips: high-wind installation details call for longer nails and extra fasteners along hip lines, and crews that bend field shingles into caps by hand should add 10–15% beyond the wrapper figure because every mitered hip joint wastes a trimmed piece.