DeckMath
8-sided · gazebo footprint · mitre-frame

Octagon Deck Calculator

Size a regular 8-sided deck — the classic gazebo footprint. Area = 2(1+√2)·s². DeckMath returns flat-to-flat, vertex-to-vertex, chord-joist count, 8 vertex posts + optional center, mitred rim BoM, 15-20% decking waste, and a 36″ railing line item when height > 30″ (IRC R312).

8 equal sides · 135° angles5 surface optionsChord joists22.5° mitre rimIRC R312 / R507
8·Equal sides
135°·Interior angle
8+1·Posts (+ center)
16″·Joist o.c.

Inputs

Octagon dimensions

ft

Area
174 sqft
Flat-to-flat
14.49
Corner-to-corner
15.68
in

Octagon Deck · Composite mid-tier (Trex Enhance)·Northeast
$12,820 – $16,753$74–$96 /sq ft installed
14.49′ flat · 174 sqft8 6x6 posts · 8 footings11 chord joists @ 16″ o.c.
Area
8 × 6′ sides
Flat-to-flat
Corner-to-corner 15.68′
Materials
Low $3,816
Labor
1.22× region · 1.3× octagon

Compliance · IRC + framing notes

No guardrail required — 24″ off grade < 30″

IRC R312

Under 30″ off grade, IRC R312 does not mandate a guardrail. Many homeowners add a decorative cap rail anyway for visual termination at the octagon perimeter.

Chord joists — 11 joists at 16″ o.c. (131 lf total)

IRC R507.6 + AWC DCA-6

Joists run parallel across flat-to-flat (14.49′). Each joist cut to its chord length at the octagon rim — center joists span the full flat-to-flat, outermost joists are short triangles at the corner cut-outs. Total joist linear footage is ~82% of a square frame's full-length joists.

8 perimeter posts only — no center post needed (14.49′ flat-to-flat ≤ 16′)

IRC R507.5 (beam span) + DCA-6

Octagons under 16′ flat-to-flat are framed with perimeter posts only (one per vertex). 2×10 PT joists span the full flat-to-flat at 16″ o.c. without intermediate support.

Decking waste — 16% (mitre cuts)

Industry standard waste %

Octagons waste 15-20% of decking lumber vs 7-10% on rectangles. Each row needs 22.5° angled cuts at both ends to meet the octagonal rim. Composite hides minor mitre imperfections — lowest waste of the surface options.

Bill of materials

Decking — Composite mid-tier (Trex Enhance)
27 boards · 432 lf · 31 rows · 16% waste (mitre cuts)
27 board
$1,640
Concrete footings — 14″ Ø to frost depth
8 footings · one per vertex
8.0 footing
$760
6x6 PT posts
8 perimeter (one per vertex)
8.0 post
$416
Floor joists — 2×10 PT (variable chord lengths)
11 joists · 131 lf total · 16″ o.c. · cut to octagon chords
11 joist
$407
Doubled 2×10 PT perimeter beams (under rim)
8 segments doubled · 96 lf total · supports rim band
8.0 segment
$298
Post anchors (ABU) + joist hangers (LUS210)
8 ABU66Z · 22 LUS210 (2× per joist for chord ends)
30 pc
$278
Perimeter rim — 8 mitred segments (2×10 PT)
8 × 6′ segments at 22.5° mitres · 48 lf
8.0 segment
$156
Hidden fastener clips + edge screws
174 sqft × $0.85/sqft
2,086 pc
$148
Materials subtotal
$4,103

Octagon deck pricing 2026-Q1. 16% decking waste baked in (mitre-cut premium). Labor multiplier 1.22× regional × 1.3× octagon.

Regular octagon = 8 equal sides at 135° interior angles. Area = 2(1+√2)·s². Estimates assume code-compliant framing per IRC R507; engineer review recommended above 20′ flat-to-flat or under unusual loads (hot tub, snow accumulation).

How to use

Three steps. Permit-ready output.

  1. 01

    Set side length

    Side length (s) is the length of ONE octagon side. A 6′ side gives ~14.5′ flat-to-flat (174 sqft); an 8′ side gives ~19.3′ flat-to-flat (309 sqft). Most gazebo-style octagon decks use 4–10′ sides. The calculator shows derived flat-to-flat and vertex-to-vertex distances live as you adjust.

  2. 02

    Pick height off grade + railing

    Height drives IRC R312: above 30″ off grade you MUST add a 36″ guardrail around the full perimeter (8 segments). DeckMath auto-flags this and adds the railing line item. Under 30″, railing is optional (toggle to add a decorative cap rail anyway).

  3. 03

    Pick surface material

    PT pine 5/4×6 ($1.95/lf — cheapest), cedar A&Better ($3.40/lf — gazebo classic, stainless screws req), composite mid Trex Enhance ($3.80/lf — best value, hides mitre imperfections), composite premium Trex Transcend ($5.40/lf — premium grain), Ipe ($7.80/lf — 50-yr hardwood, predrilling req). Octagon waste is 15–20% across all surfaces.

  4. 04

    Post size + center post

    6×6 PT posts at each of the 8 vertices is the standard structural choice; 4×4 is acceptable for octagons under 12′ flat-to-flat with no railing. Above 16′ flat-to-flat, DeckMath auto-recommends adding a center support post + interior beam (toggle to override).

  5. 05

    Read your octagon deck cost

    Project total, $/sqft, area, perimeter, flat-to-flat + vertex-to-vertex dimensions, joist + post + footing counts, full BoM, share link, PDF/CSV export.

How we calculate

The math, fully transparent.

The Octagon Deck Calculator sizes a regular 8-sided deck — the gazebo-style footprint with eight equal sides at 135° interior angles. Pick side length (3–16′), height off grade, surface material, post size, and state. DeckMath returns the exact area (using 2(1+√2)·s²), flat-to-flat dimension, vertex-to-vertex span, joist count cut to chord lengths, post + footing count at each vertex, perimeter rim with 22.5° mitres, doubled-2×10 beams, hardware, fasteners, and a 36″ railing line item when height exceeds 30″ (IRC R312). Decking waste runs 15–20% on octagons — double the typical rectangular deck — because eight mitred edge cuts produce more cut-offs. The labor multiplier is +20–45% vs a rectangle to account for chord-joist cutting, mitred rim assembly, and angled fastener layouts.

IRC references

  • IRC 2021 R507.6 — Joist span (octagon chord joists size to longest chord, not average)
  • IRC 2021 R507.5 — Beam span (8-segment perimeter beam supports rim band — segments 5–10′ depending on side length)
  • IRC 2021 R507.3 — Footings sized to frost depth (8 perimeter + 1 optional center)
  • IRC 2021 R312 — Guardrail required ≥30″ off grade (36″ height around all 8 segments)
  • AWC DCA-6 — Prescriptive deck framing (chord-joist + mitred-rim non-standard; engineer review recommended above 20′ flat-to-flat)

Octagon deck pricing 2026-Q1. Decking waste 15-20% (mitre-cut premium). Labor 1.20-1.45× rectangular deck. Geometry coefficients exact: flat-to-flat = (1+√2)·s, area = 2(1+√2)·s², vertex-to-vertex = √(4+2√2)·s.

Area
A = 2(1+√2)·s² ≈ 4.828·s²

Regular octagon area as a function of side length. s=6′ → 174 sqft. s=8′ → 309 sqft. s=10′ → 483 sqft.

Flat-to-flat
F = s·(1+√2) ≈ 2.414·s

Distance across the octagon between two parallel sides — the framing-square outer dimension. s=6′ → 14.5′ flat-to-flat (this is the lumber-stock-length you order joists in).

Vertex-to-vertex
V = s·√(4+2√2) ≈ 2.613·s

Distance across opposite corners. s=6′ → 15.7′ corner-to-corner. Used for sizing the umbrella spread or central feature.

Joist count
n = floor(F·12 / 16) + 1

Joists span across flat-to-flat at 16″ o.c. — but each joist is CUT to the octagon chord at its position. Middle joists span the full flat-to-flat; outermost joists are short (clipped at the corner triangles). Total joist linear feet = sum of all chord lengths.

Decking waste
15-20% for octagons

Standard rectangular decks waste 7-10%. Octagons waste 15-20% because each row needs angled cuts at both ends to meet the octagonal rim. Composite hides cuts best (15%); cedar + Ipe waste more (20%) due to mitre splintering.

Labor premium
1.20× to 1.45× rectangular labor

PT 1.20× (chord joists + 8 mitre rim cuts). Composite 1.30× (hidden fastener at mitred ends). Ipe 1.45× (predrill every fastener at angled cuts). Crew skill matters more — DIY adds 30%.

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