Question

Express the following angles in degree, minutes and seconds.
$\frac{\pi }{8}$ radians

Answer 1

$\frac{{\pi }^c}{8}=\frac{1}{8}\times {180}^{\circ }$

$=\frac{{45}^{\circ }}{2}={\left(22\frac{1}{2}\right)}^{\circ }$

$={22}^{\circ }{30}^{\prime }$

$[\because {\left(\frac{1}{2}\right)}^{\circ }=\frac{1}{2}\times {60}^{\prime }={30}^{\prime }]$