The degree measure of 1 radian $$\left( {\pi = \frac{{22}}{7}} \right):$$

$$\eqalign{ & {180^ \circ } = \pi \,{\text{radian}} \cr & 1{\text{ radian}} = \frac{{{{180}^ \circ }}}{\pi } \cr & \frac{{{{180}^ \circ }}}{\pi } \Rightarrow \frac{{180 \times 7}}{{22}} \Rightarrow \frac{{630}}{{11}} \Rightarrow 57\frac{{{3^ \circ }}}{{11}} \cr & = \frac{1}{{\cot }} = {57^ \circ }\frac{{180'}}{{11}} \cr & = {57^ \circ }16'\frac{{4'}}{{11}} \cr & = {57^ \circ }16'\left( {\frac{4}{{11}} \times 60''} \right) \cr & = {57^ \circ }16'22'' \cr} $$