Forty by fifteen main triangle
Basic triangular area is 300 square feet before roach.
Created by: Emma Collins
Last updated:
Estimate mainsail, foretriangle, headsail, total upwind, and reefed sail areas from P, E, I, J, roach, and LP/J inputs.
Estimate upwind sail geometry from conventional rig dimensions and explicit shape assumptions.
This calculator estimates triangular rig areas from P, E, I, and J and applies explicit roach, LP/J, and reef assumptions.
World Sailing and ORC measurement systems use defined measurement points and more detailed sail shapes; those definitions take priority.
Mainsail and foretriangle use triangle area.
Headsail area scales foretriangle by LP/J, and reefed area scales total upwind area.
Main = 0.5PE × (1 + roach %)
Headsail ≈ 0.5IJ × LP/J
Reefed = total × remaining %
P and E describe a simplified mainsail triangle; I and J describe a simplified foretriangle. Their exact endpoints must match the chosen measurement convention.
Roach allowance increases the triangular mainsail estimate but cannot reproduce head width, leech profile, battens, hollow sections, or certified measurement.
LP/J percentage estimates headsail overlap. Verify whether the entered sail is a working jib, genoa, staysail, furling sail, or another geometry.
Reefed percentage is the remaining estimated area, not the percentage removed. Sailmaker reef dimensions are preferable.
Basic triangular area is 300 square feet before roach.
Foretriangle area is a rig reference and is not necessarily the area of any sail actually carried.
Total upwind area combines the estimated main and headsail under one stated convention. Rating certificates may use different sail combinations.
Component percentages describe area share, not aerodynamic force, balance, heeling moment, or reefing suitability.
Metric dimensions are normalized to square feet for consistent formulas; equivalent physical inputs should produce equivalent areas.
Record measurement definitions beside every dimension and retain the source document.
Compare the estimate with sailmaker certificates and revise roach, LP/J, or reef assumptions where measured data exists.
Use actual sail choice, wind, stability, rig loads, crew ability, and manufacturer guidance for operational decisions.
Use consistent measurement definitions.
Prefer sailmaker or certificate areas.
Do not infer loads or righting moment.
They are conventional rig dimensions, but exact measurement points depend on the governing measurement system. Verify definitions before using certificate or class-rule data.
It is a triangular estimate. Roach, hollow leech, head width, foot shape, reefing, and measurement rules can make actual certified area different.
Foretriangle area is multiplied by entered LP/J percentage. This is geometric shorthand and not a certified sail measurement.
It scales the estimated total area by the user-entered percentage remaining. Real reef geometry and balance require sailmaker or designer data.