Question

how to convert degree into radian?also write the value of 1 degree,1 minute and 1 second.

Answer 1

$$\begin{gathered} 180°=\mathrm{\pi }\mathrm{radian} \\ 1°=\frac{\mathrm{\pi }}{180}\mathrm{radian} \end{gathered}$$

$$\begin{gathered} 1°=60\text{'} \\ 1\text{'}=60\text{'}\text{'} \end{gathered}$$

$$\begin{gathered} 1°=\frac{\mathrm{\pi }}{180}\times 1=\frac{\mathrm{\pi }}{180}radian \\ 1\text{'}=\left(\frac{1}{60}\right)°=\frac{\mathrm{\pi }}{180}\times \frac{1}{60}=\frac{\mathrm{\pi }}{10800}radians \\ 1\text{'}\text{'}=\left(\frac{1}{3600}\right)°=\frac{\mathrm{\pi }}{180}\times \frac{1}{3600}=\frac{\mathrm{\pi }}{648000}radians \end{gathered}$$