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Regular Polygon Inset Frame Coating calculator.

Measure a uniformly inset face border of a supplied regular polygon using its apothem and existing border width.

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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 regular polygon frame 1
YOUR ESTIMATE
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Formula and assumptions
BEHIND THE NUMBERS

How this calculation works.

Frame face area = side count × tan(π/side count) × (outer apothem² − inner apothem²); inner apothem = outer apothem − supplied inset. Does not choose frame thickness, strength, joinery or finish specifications.

Frame face area = side count × tan(π/side count) × (outer apothem² − inner apothem²); inner apothem = outer apothem − supplied inset.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 regular polygon frame 1
Supplied polygon side count
4
Measured outer apothem
0.5 m
Supplied uniform face inset
0.1 m
Identical frames
1

Selected coating containers: 1 containers

Regular polygon with parallel inset edges. An irregular polygon requires an actual boundary measurement instead. 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 frame thickness, strength, joinery or finish specifications.

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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