Cal11 calculator
Search calculator...

Add Degrees Minutes Seconds Calculator

Reviewed by Calculator Editorial Team

Adding degrees, minutes, and seconds together requires careful conversion between these units of angular measurement. This calculator simplifies the process by handling all the conversions automatically, giving you the total in degrees, minutes, and seconds.

How to Use This Calculator

To add degrees, minutes, and seconds together:

  1. Enter the first measurement in degrees, minutes, and seconds.
  2. Enter the second measurement in degrees, minutes, and seconds.
  3. Click "Calculate" to see the sum.
  4. The result will be displayed in degrees, minutes, and seconds.

You can also use the calculator to convert between different units of angular measurement.

Formula Used

To add two angular measurements together, we first convert each measurement to decimal degrees, then add them, and finally convert the result back to degrees, minutes, and seconds.

Conversion to Decimal Degrees:

Degrees + (Minutes / 60) + (Seconds / 3600)

Conversion Back to DMS:

  1. Take the integer part as degrees.
  2. Multiply the fractional part by 60 to get minutes.
  3. Take the integer part of minutes.
  4. Multiply the remaining fractional part by 60 to get seconds.

This method ensures precise conversion between the different units of angular measurement.

Worked Examples

Example 1: Adding Two Measurements

Let's add 45° 30' 15" and 22° 15' 45".

  1. Convert 45° 30' 15" to decimal degrees: 45 + (30/60) + (15/3600) = 45.5041667°
  2. Convert 22° 15' 45" to decimal degrees: 22 + (15/60) + (45/3600) = 22.2625°
  3. Add the decimal degrees: 45.5041667 + 22.2625 = 67.7666667°
  4. Convert back to DMS:
    • Degrees: 67
    • Minutes: 0.7666667 × 60 = 46.000002
    • Seconds: 0.000002 × 60 ≈ 0.000012

The result is approximately 67° 46' 0".

Example 2: Converting Between Units

Convert 120.5° to degrees, minutes, and seconds.

  1. Degrees: 120
  2. Minutes: 0.5 × 60 = 30
  3. Seconds: 0 × 60 = 0

The result is 120° 30' 0".

Frequently Asked Questions

How do I add degrees, minutes, and seconds together?
Use our calculator to enter both measurements in degrees, minutes, and seconds, then click "Calculate" to get the sum in the same format.
Can I convert decimal degrees to degrees, minutes, and seconds?
Yes, our calculator can handle conversions between decimal degrees and degrees, minutes, and seconds.
What if I have more than two measurements to add?
You can add measurements one at a time by entering the result of the first addition as one of the inputs for the next calculation.