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Trava [24]
3 years ago
14

How many radians is 40°? Give the exact answer in simplest form. radians

Mathematics
1 answer:
fredd [130]3 years ago
3 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\frac{D}{180°}  =  \frac{ Rad }{\pi}  \\

D = the \:  \: measure \:  \: of \:  \: angle \:  \: in \:  \: degree \\

Rad= the \:  \: measure \:  \: of \:  \: angle \:  \: in \:  \: radian \\

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\frac{40}{180}  =  \frac{ Rad }{\pi}  \\

\frac{ Rad }{\pi}  =  \frac{4}{18}  \\

\frac{Rad}{\pi}  =  \frac{2}{9}  \\

Multiply sides by π

\pi \times  \frac{Rad}{\pi}  = \pi  \times   \frac{2}{9}  \\

Rad =  \frac{2}{9} \pi \\

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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