Question

Expresse em radianos​

Answer 1

Resposta:

€30,54

€15,51

€120,34

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Answer 2

Resposta:

solução:

Transformar graus em radianos:

a)

$\sf \displaystyle \begin{array}{ccc}\mbox{ \sf grau ( ^\circ ) } & & \text{ \sf radiano (rad)} \\\sf 180 & \to & \sf \pi \\\sf 30 & \to & \sf x\end{array}$

$\sf \displaystyle \dfrac{180}{30} =\dfrac{\pi}{x}$

$\sf \displaystyle \dfrac{6}{1} =\dfrac{\pi}{x}$

$\sf \displaystyle 6\:x = \pi$

$\boxed{ \boxed { \boldsymbol{ \sf \displaystyle x =\dfrac{1}{6} \: \pi \:rad }}} \quad \gets \mathbf{ Resposta }$

b)

$\sf \displaystyle \begin{array}{ccc}\mbox{ \sf grau ( ^\circ ) } & & \text{ \sf radiano (rad)} \\\sf 180 & \to & \sf \pi \\\sf 15 & \to & \sf x\end{array}$

$\sf \displaystyle \dfrac{180}{15} =\dfrac{\pi}{x}$

$\sf \displaystyle \dfrac{12}{1} =\dfrac{\pi}{x}$

$\boxed{ \boxed { \boldsymbol{ \sf \displaystyle x =\dfrac{1}{12} \: \pi \:rad }}} \quad \gets \mathbf{ Resposta }$

c)

$\sf \displaystyle \begin{array}{ccc}\mbox{ \sf grau ( ^\circ ) } & & \text{ \sf radiano (rad)} \\\sf 180 & \to & \sf \pi \\\sf 120 & \to & \sf x\end{array}$

$\sf \displaystyle \dfrac{180}{120} =\dfrac{\pi}{x}$

$\sf \displaystyle \dfrac{3}{2} =\dfrac{\pi}{x}$

$\sf \displaystyle 3x = 2\; \pi$

$\boxed{ \boxed { \boldsymbol{ \sf \displaystyle x = \dfrac{2}{3} \: \pi \:rad }}} \quad \gets \mathbf{ Resposta }$

Explicação passo-a-passo:

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