Uzupełniona tabela:

W stopniach	5o	10o	22o 30'	36o	54o	112o 30'	210o	225o	315o	330o	390o
W radianach	π/36	π/18	π/8	π/5	3π/10	5π/8	7π/6	5π/4	7π/4	11π/6	13π/6

 

Obliczenia:

$\frac{5^{\circ }}{{360}^{\circ }}=\frac{x}{2\pi }$   

$x=\frac{{\sout{5^{\circ }}}^1\cdot 2\pi }{{\sout{{360}^{\circ }}}^{72}}=\frac{{\sout{2}}^1\cdot \pi }{{\sout{72}}^{36}}=\frac{\pi }{36}$   

$\frac{{10}^{\circ }}{{360}^{\circ }}=\frac{x}{2\pi }$   

$x=\frac{{\sout{{10}^{\circ }}}^1\cdot 2\pi }{{\sout{{360}^{\circ }}}^{36}}=\frac{{\sout{2}}^1\pi }{{\sout{36}}^{18}}=\frac{\pi }{18}$   

$\frac{\pi }{8}=\frac{1}{{\sout{8}}^2}\cdot {\sout{{180}^{\circ }}}^{{45}^{\circ }}=\frac{{45}^{\circ }}{2}={22,5}^{\circ }={22}^{\circ }30{}^{\prime }$  

$\frac{{36}^{\circ }}{{360}^{\circ }}=\frac{x}{2\pi }$  

$x=\frac{{\sout{{36}^{\circ }}}^1\cdot 2\pi }{{\sout{{360}^{\circ }}}^{10}}=\frac{{\sout{2}}^1\pi }{{\sout{10}}^5}=\frac{\pi }{5}$   

$\frac{3\pi }{10}=\frac{3}{{\sout{10}}^1}\cdot {\sout{{180}^{\circ }}}^{{18}^{\circ }}={54}^{\circ }$   

$\frac{5\pi }{8}=\frac{5}{{\sout{8}}^2}\cdot {\sout{{180}^{\circ }}}^{{45}^{\circ }}=\frac{{225}^{\circ }}{2}={112,5}^{\circ }={112}^{\circ }30{}^{\prime }$   
  

$\frac{7\pi }{6}=\frac{7}{{\sout{6}}^1}\cdot {\sout{{180}^{\circ }}}^{{30}^{\circ }}={210}^{\circ }$       

$\frac{{225}^{\circ }}{{360}^{\circ }}=\frac{x}{2\pi }$  

$x=\frac{{\sout{{225}^{\circ }}}^5\cdot 2\pi }{{\sout{{360}^{\circ }}}^8}=\frac{{\sout{10}}^5\pi }{{\sout{8}}^4}=\frac{5}{4}\pi$   

$\frac{{315}^{\circ }}{{360}^{\circ }}=\frac{x}{2\pi }$  

$x=\frac{{\sout{{315}^{\circ }}}^7\cdot 2\pi }{{\sout{{360}^{\circ }}}^8}=\frac{{\sout{14}}^7\pi }{{\sout{8}}^4}=\frac{7}{4}\pi$  

$\frac{11\pi }{6}=\frac{11}{{\sout{6}}^1}\cdot {\sout{{180}^{\circ }}}^{{30}^{\circ }}={330}^{\circ }$       

$\frac{13\pi }{6}=\frac{13}{{\sout{6}}^1}\cdot {\sout{{180}^{\circ }}}^{{30}^{\circ }}={390}^{\circ }$