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Alternating Radius Star Face Coating calculator.

Measure a supplied simple star face with evenly alternating outer and inner radii before calculating coating containers.

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Your inputs

Use measurements from your plan and properties from your chosen product. Any prefilled values are illustrative.

Where to get this value

Use the usable coverage or mixed yield printed on your product label for the stated application. Do not substitute bag weight for finished volume.

Supplied alternating-radius star 1
YOUR ESTIMATE
∑

A clear estimate starts here.

Enter your dimensions and product details to see the quantity and purchase breakdown.

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Formula and assumptions
BEHIND THE NUMBERS

How this calculation works.

Face area = point count × outer radius × inner radius × sin(π/point count). Does not choose a shape, finish, material or fabrication method.

Face area = point count × outer radius × inner radius × sin(π/point count).Calculated with normalised units

A worked example

Illustrative inputs only. Product properties and design dimensions are not recommendations for your project.

Supplied coat count
1
Chosen product coverage
1 m²/L
Selected container volume
1 L
Supplied alternating-radius star 1
Outer point count
5
Outer point radius
0.5 m
Inner vertex radius
0.2 m
Identical faces
4

Selected coating containers: 2 containers

A non-crossing boundary through alternating radii in angular order. Self-crossing star polygons use a different model. Coating suitability and coat count are not selected.

Before you purchase

Use dimensions from your plan and properties from your chosen product. Any design spacing, section or fixing pattern must already be specified.

Does not choose a shape, finish, material or fabrication method.

All dimensions, properties and application patterns are user-supplied. No building-code default is inserted.

Method: dimensional arithmetic and user-supplied specifications. Software checks: 2026-10-06. Calculation and review policy.

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