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Hip Roof Calculator (UK)

Free hip roof calculator for the UK. Compute surface area in m², common and hip rafter lengths, and ridge length for any equal-pitch four-sided hipped roof.

Hip Roof Calculator

|
Roof surface area
140.78
m² · slope ×1.122 · 27°
Common rafter
5.5
m
Hip rafter
7.37
m
Ridge length
3
m
Roofing squares
15.15
1 sq = 9.29 m²

How this hip roof calculator works for UK projects

Enter the building length, width, eave overhang, and pitch (in degrees by default for UK use, with X/12 available if you prefer the older convention). The calculator returns the dachfläche / roof surface area in m², the common rafter length, the hip rafter length, the ridge length, and the equivalent in roofing squares.

A hipped roof is the standard for British semi-detached and detached homes built between 1920 and 1980. It is also extremely common on modern volume-housebuilder estates because it ties cleanly into masonry gable returns and makes corner detailing easier.

The geometry, derived

The slope factor is the ratio between the actual rafter length and its horizontal run:

slope factor = 1 / cos(pitch in degrees)

For a 22.5° pitch the factor is 1.082; for 30° = 1.155; for 35° = 1.221; for 45° = 1.414.

Surface area

For an equal-pitch hipped roof on a rectangular footprint, the surface area equals the gable equivalent:

roof area (m²) = (length + 2·overhang) × (width + 2·overhang) × slope factor

The two trapezoid planes plus the two triangle planes sum exactly to the rectangle of the footprint multiplied by the slope factor — a tidy result that simplifies the takeoff considerably.

Rafters

common rafter  = (width/2) × slope factor
hip rafter     = (width/2) × √(2 + tan²θ)

Hip rafters are the longest rafters on the roof — typically 30–45% longer than commons. They run diagonally from each corner up to the ridge end and take a compound cut top and bottom. Order an extra one for cull.

Ridge

ridge length = length − width

The overhangs cancel. On a 9 m × 7 m footprint the ridge is 2.0 m. On a square hip (W = L) it collapses to a point, giving a pyramid hip — common on Victorian detached villas and some modern porches.

UK pricing context (2026)

From recent NFRC member quotes, Checkatrade and MyBuilder data, and BBA-certified tile manufacturer pricing:

Covering£ / m² installedPitch range
Marley Eternit / Redland concrete interlocking£55–£7517.5°+
Sandtoft / Marley plain tiles (clay or concrete)£85–£13035°+
Pantiles (Sandtoft Lindum, Russell Galloway)£75–£10522.5°+
Welsh natural slate£180–£26025°+
Spanish or Brazilian slate (Cupa, SSQ)£130–£18025°+
Standing-seam zinc (VMZINC) or aluminium£180–£2607°+

A 100 m² plain-tile hipped roof at £100/m² installed is roughly £10,000 for the covering alone, plus £1,800–£3,500 for scaffolding (Construction Skills CITB rates), £400–£800 for skip hire, and £600–£1,200 for the Marley RTV or Hambleside Danelaw dry-fix hip system.

Common UK-specific mistakes

Skipping the dry-fix hip system on a tear-off. BS 5534:2018 requires mechanical fixing on every hip cap regardless of bedding. NHBC inspection failure on this point is one of the most common reasons for warranty rework on volume-housebuilder estates.

Using imperial pitch on a UK tile gauge. Plain tiles are spec’d in metric gauge (typically 100 mm) and cover figures are quoted per m². Mixing 6/12 inputs with metric tile data is a recipe for under-ordering. The calculator defaults to degrees and m² for UK use.

Forgetting verge and hip clips. NHBC 7.2 requires mechanical fixing within 1 m of any hip, ridge, or verge. Order verge clips at one per tile within the 1 m zone and hip clips at one per cap — typically 8–12 per linear metre of hip.

Standards and references

  • BS 5534:2018+A2:2018 — Slating and tiling for pitched roofs and vertical cladding.
  • Approved Document A — Structure (rafter and hip-rafter loads).
  • Approved Document C — Site preparation and resistance to contaminants and moisture.
  • NHBC Standards Chapter 7.2 — Pitched roofs (warranty technical requirements).
  • BBA Agrément certificates — required for tile, dry-fix, and underlay products on most warranty schemes.
  • Eurocode 1 (BS EN 1991-1-3) — snow loading, applied via the UK National Annex.

Using this with the rest of the project

Once you have the m², size the framing with the roof truss calculator, price the covering with the roof cost calculator, and validate the pitch against your chosen tile’s BBA minimum with the roof pitch calculator. For a like-for-like comparison with a gable shape on the same footprint, the roof area calculator confirms that the geometric area is identical — the cost premium of a hipped roof comes from labour, hip cap material, and waste, not from the m² itself.

The hipped roof remains the British residential workhorse. Get the inputs right and every downstream estimate — covering, scaffolding, dry-fix system, NHBC sign-off — slots into a defensible range.

Frequently asked questions

What pitch is typical for a UK hipped roof?
Older terraces and 1930s semis sit at 35–45°. Post-war estates and 1960s bungalows often run shallower at 22–30°. New build truss-built hips designed to BS 5534 cluster around 30–35° to balance plain-tile compatibility and headroom in the loft. The calculator works in degrees by default for UK use.
Does the calculation cover plain tile or pantile coverings?
Yes — the geometric area is independent of the covering. Once you have the m², apply the per-tile cover figure from your tile manufacturer's data sheet. For Marley Eternit Wessex plain tiles at a 100 mm gauge, cover is roughly 60 tiles per m²; for Sandtoft Lindum pantiles around 9.7 per m². Always verify against the BBA Agrément certificate for your specific tile.
How does this differ from a gable for UK building regs?
Approved Document A (structure) treats the spans similarly, but BS 5534 (slating and tiling) requires hip and ridge mortar bedding or proprietary mechanical fixing for tiles within 1 m of any hip, ridge, or verge. NHBC Standards Chapter 7.2 recommends mechanical fixing on every hip cap. Allow extra labour and material for hip clips, dry-fix systems (Marley RTV, Hambleside Danelaw Hipfast), or sand-cement bedding.
What is the formula for UK hip rafter length?
Hip rafter length = (W/2) × √(2 + tan²θ), where W is the building width at the eaves and θ is the pitch in degrees. For a 9 m wide house at 35°, hip rafter = 4.5 × √(2 + 0.490) = 4.5 × 1.578 = 7.10 m. Add a small allowance for the wallplate seat cut and the ridge bevel.
What waste percentage should I add to UK tile orders?
NFRC and the Confederation of Roofing Contractors guidance: 5% for a simple gable in plain tiles, 8–10% for a hipped roof, 12–15% for a hipped roof with valleys or dormers. Add another 2–3% for verge clips and hip caps on top of the cover figure.
Is mortar bedding still allowed under BS 5534?
Yes, but BS 5534:2018 also requires mechanical fixing on every hip cap regardless of bedding, in any wind zone above 22 m/s gust. Most contractors now move straight to a dry-fix hip system (Hambleside Danelaw, Marley, Klober) — faster, cleaner, and BS 5534-compliant out of the box.

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