Degrees Minutes Seconds Calculator

Angular measurements are traditionally expressed in degrees (°), minutes ('), and seconds ("). The conversion relies on base-60 arithmetic. One whole degree equals 60 minutes, and one minute equals 60 seconds. To convert a decimal degree (D) into minutes and seconds, you take the fractional part of the degree, multiply it by 60 to find the minutes, and then take the fractional part of those minutes and multiply it by 60 to find the seconds.

Imagine you need to convert 45.75 decimal degrees into degrees, minutes, and seconds. First, the whole number is your degree value: 45 degrees. Next, take the decimal portion (0.75) and multiply by 60: 0.75 × 60 = 45 minutes. Since there is no remaining decimal in the minutes value, your final calculated result is 45 degrees, 45 minutes, and 0 seconds (45° 45' 0").

Always double-check your initial decimal inputs before running calculations, especially when dealing with GPS coordinates where minor discrepancies can lead to large spatial offsets. Remember that there are 3,600 seconds in a single degree. When working on professional cartography projects, verify whether your software expects decimal degrees or sexagesimal notation to maintain consistency.