sumivo

Sumivo · Converters

Angle Converter

Convert through one Radian (SI) baseline and round only the displayed value.

01 / CONVERT ANGLE

0.01745329

CONVERTED VALUE

1 ° = 0.01745329 rad

Conversion constant: 1 ° = 0.01745329 rad

Converted value
0.01745329 rad
Baseline (rad)
0.01745329 rad

Calculation trace

  1. 1 deg → rad
    0.01745329 rad
    Normalise to base unit
  2. 0.017453 rad → rad
    0.01745329 rad
    Convert to target unit
SOURCERELATIONCONVERTED
1 °=0.01745329 rad
5 °=0.08726646 rad
10 °=0.17453293 rad
25 °=0.43633231 rad
100 °=1.74532925 rad

Maintained by Jack Shi

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How it works

The input is normalised to the normalization unit (rad) using fixed NIST SP 811 conversion factors, then converted to the target unit. Same-unit conversions return the input exactly.

Assumptions & limits

  • Degree, gradian, arcminute, arcsecond and turn relationships are exact in terms of π. The stored Math.PI factors approximate π.
  • Calculations use JavaScript double-precision floating-point arithmetic, which can introduce small rounding errors; display formatting may round further.

Verified runs

Synthetic examples executed at build revision 24533ff on . Cards round decimal results to 6 significant figures; matching uses full precision and the tolerance below. Matches cover the displayed fields, not every possible input or clinical or engineering validation.

  • Inputs: Value: 1 turn; From unit: turn; To unit: °

    Result: Value: 360 ° (expected Value: 360 °) ✓

  • Inputs: Value: 0 turn; From unit: turn; To unit: °

    Result: Value: 0 ° (expected Value: 0 °) ✓

  • Inputs: Value: 60 arcminutes; From unit: arcminutes; To unit: °

    Result: Value: 1 ° (expected Value: 1 °) ✓

How these runs were checked

Method: angle-linear@1.0.1. Expectations come from the listed test fixtures or hand arithmetic; they are not copied from these executions. Omitted optional inputs use the method defaults. Run dates record execution, not expert review or fresh measurements.

Download all verified runs (JSON) — full inputs, returned values, expectations, timestamps and buildRevision.

  • normal: . Absolute tolerance: 5e-10. Text and booleans match exactly. Full-precision result: Value: 360 °. Expected: Value: 360 °. Expectation: packages/calculator-core/tests/angle-converter.test.ts
  • boundary: . Absolute tolerance: 0. Text and booleans match exactly. Full-precision result: Value: 0 °. Expected: Value: 0 °. Expectation: Hand arithmetic: 0 turn × the finite conversion factor = 0 deg.
  • sensitivity: . Absolute tolerance: 5e-10. Text and booleans match exactly. Full-precision result: Value: 1 °. Expected: Value: 1 °. Expectation: packages/calculator-core/tests/angle-converter.test.ts

Reproduce from the source checkout with pnpm --filter @sumivo/web gen:verified-runs. A rebuild changes execution times; the revision identifies its Git starting point, including any uncommitted changes made for that build.

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FAQ

Why convert through a base unit?
Normalising every unit to rad first means one small, checkable factor table covers every from/to pair with floating-point rounding possible.
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Related calculators

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SOURCES