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[tex] \frac{D}{180°} = \frac{ Rad }{\pi} \\ [/tex]
[tex]D = the \: \: measure \: \: of \: \: angle \: \: in \: \: degree \\ [/tex]
[tex]Rad= the \: \: measure \: \: of \: \: angle \: \: in \: \: radian \\ [/tex]
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[tex] \frac{40}{180} = \frac{ Rad }{\pi} \\ [/tex]
[tex] \frac{ Rad }{\pi} = \frac{4}{18} \\ [/tex]
[tex] \frac{Rad}{\pi} = \frac{2}{9} \\ [/tex]
Multiply sides by π
[tex]\pi \times \frac{Rad}{\pi} = \pi \times \frac{2}{9} \\ [/tex]
[tex]Rad = \frac{2}{9} \pi \\ [/tex]
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