Question

Como transformar 450 graus em radiano?

Answer 1

180° ----- π
450° ---- x

450π = 180x
450π / 180 = x
5π / 2 = x

Answer 2

Use a Regra de Três:

$\boxed{ \begin{array}{lr} \\ \sf \large\Bigg\downarrow\!\!\!\!\!\!\large\begin{array}{cc}{\sf \quad \: \pi\quad\textsf{--------------------}\quad {180}^{o} }\\\\ {\sf \quad\,\,\!x\quad \textsf{--------------------}\quad {450}^{0} }\end{array}\: \:\!\Bigg\downarrow \\ \: \end{array}}$

• Simplifique:

$\large \boxed{ \boxed{ \large \sf \: \dfrac{{ {450}^{o}} \pi^{ \div 30} }{{ {180}^{o}}^{ \div30 } } = \dfrac{{ {{15}^{o}\pi}}^{ \: \div 3} }{ {{{6}^{o}}}^{ \div 3} } = \dfrac{5 \pi }{2} }}$

➡️ Resposta:

450° em Radianos é: $\huge \boxed{ \boxed{ \huge \sf \: \frac{5\pi}{2} }}$