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Degrees Minutes Seconds to Decimal Degrees

Convert an angle from degrees, arcminutes and arcseconds into signed decimal degrees.

Decimal degrees

12.500000000°

Formula

θ = ±(D + M/60 + S/3600).

Decimal degrees ≈ (12)+(30)÷60+(0)÷3600

How to use

  1. Choose the sign of the whole angle.
  2. Enter nonnegative degrees, minutes and seconds.
  3. Read signed decimal degrees.

Examples

  • −(0° 7′ 30″) = −0.125°.

Frequently asked questions

Are these time minutes?

No. They divide an angle: 1° = 60′ = 3600″.

How do I enter a negative angle below 1°?

Select minus and leave degrees at zero.

Which ranges apply?

Whole degrees and minutes; minutes 0–59 and seconds from 0 to less than 60.

Sources

Updated:

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