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:
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.
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.
