Question

Convert $\frac{3\mathrm{\pi }}{5}$ radian into sexagesimal system

Answer 1

As we know the value of

$$\begin{gathered} \mathrm{\pi }\mathrm{radian}={180}^{°} \\ 1\mathrm{radian}=\frac{{180}^{°}}{\mathrm{\pi }} \\ \mathrm{Therefore}\mathrm{we}\mathrm{can}\mathrm{write}\frac{3\mathrm{\pi }}{5}\mathrm{radians}\mathrm{in}\mathrm{sexagesimal}\mathrm{system}\mathrm{as} \\ \frac{3\mathrm{\pi }}{5}\mathrm{radians}=\frac{{180}^{°}}{\mathrm{\pi }}\times \frac{3\mathrm{\pi }}{5} \\ ={108}^{°} \end{gathered}$$

So $\frac{3\mathrm{\pi }}{5}$radian into sexagesimal system is $108°$