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Woodworking Geometry & Yield FOCUSED CALCULATOR

Compound Miter Calculator

Crown settings are calculated for flat-laid moulding from the inside wall angle and spring angle measured from the wall.

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Compound Miter CalculatorDecision support
INPUTSDefined
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OUTPUTInstant
AssumptionsCalculationResult
Quick answer

Crown settings are calculated for flat-laid moulding from the inside wall angle and spring angle measured from the wall.

Enter your inputs
RESULT
Calculated output
0

Miter: 31.62°; bevel: 33.86°. Verify cut orientation on a test piece. is the example result. Crown settings are calculated for flat-laid moulding from the inside wall angle and spring angle measured from the wall. Saw orientation and complementary-angle conventions must be verified on a test piece.

Flat-laid crown moulding: miter = atan(sin(spring angle) ÷ tan(wall angle ÷ 2)); bevel = asin(cos(spring angle) × cos(wall angle ÷ 2)). Trigonometric inputs are converted from degrees; results return in degrees. Cut orientation requires a test piece.
Purpose

Crown settings are calculated for flat-laid moulding from the inside wall angle and spring angle measured from the wall.

Turning measured dimensions into a material plan

Crown settings are calculated for flat-laid moulding from the inside wall angle and spring angle measured from the wall. Saw orientation and complementary-angle conventions must be verified on a test piece. Material quantities begin with the actual surface, volume or part dimensions. A footprint and a sloped surface are different measurements. Pack sizes, offcuts and layout can increase the order above the geometric requirement.

What the model includes

Flat-laid crown moulding: miter = atan(sin(spring angle) ÷ tan(wall angle ÷ 2)); bevel = asin(cos(spring angle) × cos(wall angle ÷ 2)). Trigonometric inputs are converted from degrees; results return in degrees. Cut orientation requires a test piece. Check the dimension convention and include openings only where the model has a corresponding input. A percentage allowance is a planning adjustment, not a layout simulation. Retain the source drawing or measurement sheet next to the result. Confirm the supplier unit before ordering. Area, volume, board feet and mass cannot be substituted without the thickness or density relationship. Structural suitability and fixing details are outside a quantity estimate.

Example with the supplied inputs

Inside wall angle (degrees): 90; Crown spring angle from wall (degrees): 38. Result: Miter: 31.62°; bevel: 33.86°. Verify cut orientation on a test piece.. The values are illustrative.

Compare one changed input

Inside wall angle (degrees) changes from 90 to 99. The result becomes Miter: 27.74°; bevel: 30.78°. Verify cut orientation on a test piece.. All other inputs remain fixed.

Calculation rule

Formula

Flat-laid crown moulding: miter = atan(sin(spring angle) ÷ tan(wall angle ÷ 2)); bevel = asin(cos(spring angle) × cos(wall angle ÷ 2)). Trigonometric inputs are converted from degrees; results return in degrees. Cut orientation requires a test piece.

Inputs and output

Example inputs and entry conventions
Input Example value Entry convention
Inside wall angle (degrees) 90 Use the source quantity represented by inside wall angle (degrees). Keep the counted population fixed and avoid mixing a unit value with a period total.
Crown spring angle from wall (degrees) 38 Use the source quantity represented by crown spring angle from wall (degrees). Keep the counted population fixed and avoid mixing a unit value with a period total.

Output: Miter: 31.62°; bevel: 33.86°. Verify cut orientation on a test piece. is the example result. Crown settings are calculated for flat-laid moulding from the inside wall angle and spring angle measured from the wall. Saw orientation and complementary-angle conventions must be verified on a test piece. Use the formula to distinguish a cash amount, count, percentage or ratio.

How to use the page

STEP 01

Collect the inputs

Gather Inside wall angle (degrees), Crown spring angle from wall (degrees). Use one period and the units shown in the form.

STEP 02

Run the calculation

Enter the values and select the action. The calculation rule above explains how the inputs produce the result.

STEP 03

Compare a scenario

Change Inside wall angle (degrees) on its own, keeping the other inputs fixed. Read both results before changing another assumption.

Worked example

With the example inputs listed above, the result is Miter: 31.62°; bevel: 33.86°. Verify cut orientation on a test piece..

Change Inside wall angle (degrees) from 90 to 99 while keeping every other value fixed. The result becomes Miter: 27.74°; bevel: 30.78°. Verify cut orientation on a test piece.. This comparison isolates that input; it does not forecast how other variables will respond.

Check the stated formula, units and limits before using the result in a decision.

Calculation and source notes

Keep the displayed formula, input units and model scope with the result. Corrections or questions can be sent through the request section on this page.

Content updated: October 11, 2026
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