| Degree decimal |
Table of Contents
Formula
To convert degree decimals into hours minutes seconds, we use the following steps,
- Divide the given value by $15$ to convert it to its equivalent degree value. Subtract the fractional part from the answer to obtain the degree value.
- Multiply the fractional part of the input value by 60 to get the fractional representation of minutes.
- Subtract the decimal part from this value to get the minutes.
- To get the seconds, multiply the fractional part from step # 2 by 60.
Example
Here we convert 12.203333 from degree decimal to hours minutes seconds using the procedure defined above,
\begin{aligned}
\text{deg\,decimal} &= 12.203333/15 = 0.813555533\\
\text{hour} &= 0.813555533 - 0.813555533 = 0^\text{h}\\
\text{min} &= 0.813555533\times60 = 48.813332 \rightarrow 48.813332 - 0.813332 = 48^\text{m}\\
\text{sec} &= 0.813332 \times 60 = 48.79992^\text{s}
\end{aligned}So, 12.203333 in degree decimals is equal to $0^\text{h}\ 48^\text{m}\ 48.79992^\text{s}$.