KEVOS® MAKEOS · Units

Degrees, Minutes and Seconds Converter

What is this angle in degrees–minutes–seconds, decimal degrees and radians?

Convert an angle between degrees–minutes–seconds, decimal degrees and radians, for drawings, sine bar set-ups and survey data.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Convert fromchoiceThe form of the angle you have.
Degrees°Whole degrees (negative for negative angles).
Minutes′Minutes (0–59).
Seconds″Seconds (0–59.99).
Decimal degrees°Angle in decimal degrees.
RadiansradAngle in radians.

Method and formulas

  1. Decimal = degrees + minutes ÷ 60 + seconds ÷ 3600.
  2. Minutes = fractional degrees × 60; seconds = fractional minutes × 60.
  3. Radians = degrees × π ÷ 180.
  4. Example: 12° 30′ 15″ = 12.504167°.

Limitations

  • Seconds are rounded to three decimals in the display.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Convert drawing angles in DMS for calculations
  • Express a calculated angle in DMS for the shop
  • Convert to radians

Who it is for

  • Machinists
  • Toolmakers
  • Engineers

What you get

  • Degrees–minutes–seconds
  • Decimal degrees
  • Radians

Interpreting the result

  • Sine bar and dividing head work usually needs seconds; drawings often state minutes.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 103–104. Topic reference; no source tables or recommended settings are reproduced.

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Open the Degrees, Minutes and Seconds Converter calculator