THE NUMBERS, EXPLAINED
How to use this calculator.
One edge remains straight. The signed offset is start width minus end width; the displayed angle is its magnitude. Fixture safety and tool setup are outside this geometric model.
Start with your inputs
Enter workpiece length (mm), start width (mm), end width (mm). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Workpiece length (mm) | 600 |
| Start width (mm) | 100 |
| End width (mm) | 70 |
A worked example
With the example inputs above, signed end offset (mm) is 30. Change the inputs to explore your own scenario.
Putting the example numbers into the formula
Signed end offset (mm)
(100)-(70) = 30
Taper angle (degrees)
atan(abs((100)-(70)) ÷ (600)) × 180 ÷ π = 2.862405
| Result | Example answer |
|---|---|
| Signed end offset (mm) | 30 |
| Taper angle (degrees) | 2.862405 |
How this is calculated
Signed end offset (mm)
b-c
Taper angle (degrees)
atan(abs(b-c) ÷ a) × 180 ÷ π
Symbols and units
- a
- Workpiece length (mm)
- b
- Start width (mm)
- c
- End width (mm)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Calculation steps and notation
atan returns the inverse tangent in radians. Multiply by 180/π for degrees.
abs(x) is the magnitude of x without its sign.
π is the circle constant, approximately 3.141592653589793.
Assumptions and limits
One edge remains straight. The signed offset is start width minus end width; the displayed angle is its magnitude. Fixture safety and tool setup are outside this geometric model.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Signed end offset (mm); Taper angle (degrees). The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: One edge remains straight. The signed offset is start width minus end width; the displayed angle is its magnitude. Fixture safety and tool setup are outside this geometric model.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
OpenStax: algebra and proportional reasoning ↗
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →