Miter Angle Calculator

Form

Joint and board details

Results

Miter angles α and ß

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What is Miter Angle?

Work out a miter arrangement from the joint angle and board widths.

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How to Use This Calculator

  1. Enter or select Joint angle (θ), Width of board A, Width of board B.
  2. Check the unit beside each measurement. For a percentage or rate, use the scale and time period stated in the form.
  3. Choose Calculate, then compare the output with the formula and example below. If you change a value or option, calculate again to update the result.
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Formula Used

For equal-width boards in a symmetric joint, each miter takes half the joint angle.
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Variables Explained

InputWhat it means
Joint angle (θ)The angle for the selected function, in degrees or radians as stated beside the input.
Width of board AThe crosswise measurement, perpendicular to the length.
Width of board BThe crosswise measurement, perpendicular to the length.
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Worked Example

A symmetric 90° corner uses two 45° cuts.

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Why Use This Calculator?

Use the result to put measurements on a common basis before comparing them or estimating quantities. The original measurement precision still limits the precision of the answer.

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Common Mistakes

    • Unequal board widths need unequal cuts; the simple half-angle rule no longer describes the whole joint.
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Frequently Asked Questions

When should I round a measurement?

Carry the measured values and conversion factors through the calculation first. Round the final result to a precision justified by the original measurements.

Why can a supplier’s quantity differ?

Measurement conventions, nominal sizes, density assumptions and purchase rounding can change a practical quantity. Compare the units and assumptions before comparing the numbers.

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Sources & References