Question

converte em radianos 60°
​

Answer 1

$\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{ \color{green} \boxed{Olá\:tudo\:bem?}}}}}}} \\ \\ ~\huge\mid{\boxed{\bf{\blue{Matem\acute{a}tica}}}\mid}$

$60°$

$60° \times \frac{\pi}{180°} rad$

$\cancel{ 60° } \div 60° \times \frac{\pi}{\cancel{ 180° } \div 60°} rad$

$\boxed{ \color{green} \boxed{{  \frac{\pi}{3}rad }}}$

${\huge\boxed { {\bf{E}}}\boxed { \red {\bf{a}}} \boxed { \blue {\bf{s}}} \boxed { \gray{\bf{y}}} \boxed { \red {\bf{}}} \boxed { \orange {\bf{M}}} \boxed {\bf{a}}}{\huge\boxed { {\bf{t}}}\boxed { \red {\bf{h}}}} \\ \\ {\boxed{ \color{blue} \boxed{ 26 |02|22  }}}{\boxed{ \color{blue} \boxed{Espero \:  ter  \: ajudado \: ☆}}}$

Answer 2

✅ Após resolver os cálculos, concluímos que o valor do referido ângulo em radianos é:

  $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf x = \frac{\pi}{3}rad\:\:\:}}\end{gathered} }$

Seja o ângulo:

       $\Large\displaystyle\begin{gathered} \theta = 60^{\circ}\end{gathered}$

Implementando um regra de três simples, temos:

     $\Large\displaystyle\text{ \begin{gathered} \frac{\pi}{180^{\circ}}rad = \frac{x}{60^{\circ}}\end{gathered} }$

      $\Large\displaystyle\text{ \begin{gathered} x = \frac{60^{\circ}\pi}{180^{\circ}}rad\end{gathered} }$

       $\Large\displaystyle\text{ \begin{gathered} x = \frac{60^{\circ}\div60\pi}{180^{\circ}\div60}rad\end{gathered} }$

       $\Large\displaystyle\begin{gathered} x = \frac{\pi}{3}rad\end{gathered}$

✅ Portanto, o valoro ângulo procurado em radianos é:

           $\Large\displaystyle\begin{gathered} x = \frac{\pi}{3}rad\end{gathered}$

 

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