Boat swing circle geometry calculator

Calculate ideal horizontal bow swing radius and ideal furthest-point swing radius with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use ideal horizontal bow swing radius and ideal furthest-point swing radius to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Taut rode length (m)
35
Vertical bow-to-anchor distance (m)
7
Bow attachment to furthest boat point (m)
10
Ideal horizontal bow swing radius (m)
34.292856
Ideal furthest-point swing radius (m)
44.292856
Ideal swing circle area (m²)
6,163.355941

Try another scenario

Taut rode length (m)
38.5
Vertical bow-to-anchor distance (m)
7
Bow attachment to furthest boat point (m)
10
Ideal horizontal bow swing radius (m)
37.858288
Ideal furthest-point swing radius (m)
47.858288
Ideal swing circle area (m²)
7,195.55335
Calculation method

Calculation method

Ideal horizontal bow swing radius (m)

Horizontal projection=sqrt(rode²-depth²); farthest radius=projection+boat extension.

Ideal furthest-point swing radius (m)

Horizontal projection=sqrt(rode²-depth²); farthest radius=projection+boat extension.

Ideal swing circle area (m²)

Horizontal projection=sqrt(rode²-depth²); farthest radius=projection+boat extension.

Symbols and units
a
Taut rode length (m)
b
Vertical bow-to-anchor distance (m)
c
Bow attachment to furthest boat point (m)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Straight taut rode, static geometry only; no catenary, drag, tides or collision clearance guarantee. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Straight taut rode, static geometry only; no catenary, drag, tides or collision clearance guarantee.
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