DMS to Radians Calculator







Formula

The formula to convert degrees, minutes, and seconds (DMS) to radians is:

\[ R = \left(D + \frac{M}{60} + \frac{S}{3600}\right) \times \left(\frac{\pi}{180}\right) \]

Where:

What is DMS to Radians?

DMS stands for Degrees, Minutes, and Seconds, which is a method of expressing geographic coordinates or measurements of angles. Converting DMS to radians involves changing the angle measurement from degrees, minutes, and seconds to a decimal form in radians. This is often necessary in mathematical and scientific calculations, as radians are a more universally applicable unit of measurement in these fields.

Example Calculation

Let's assume the following values:

Step 1: Calculate the value in radians:

\[ R = \left(30 + \frac{15}{60} + \frac{50}{3600}\right) \times \left(\frac{\pi}{180}\right) \approx 0.5297 \text{ radians} \]

Therefore, the value in radians is approximately 0.5297 radians.