Question

1-Converta em radianos;
a) 120graus
B)135graus
C)230graus

2- Converta em graus
a)7π radiano
6
B)11π radiano
6
C)4π radiano
3

Answer 1

Olá.

Para transformar em radianos, temos de multiplicar o valor em graus por $\frac{\pi\ rad}{180}$

A
120
$120\cdot\dfrac{\pi\ rad}{180}$
$\dfrac{120\pi\ rad}{180}$ 
$\boxed{\dfrac{2\pi\ rad}{3}}</span>$

B
135
$135</span>\cdot\dfrac{\pi\ rad}{180}$
$\dfrac{135\pi\ rad}{180}$
$\boxed{\dfrac{3\pi\ rad}{4}}$

C
230
$230\cdot\dfrac{\pi\ rad}{180}$
$\dfrac{230\pi\ rad}{180}$
$\boxed{\dfrac{23\pi\ rad}{18}}$



Para converter em graus, usaremos $\boxed{\dfrac{\pi}{a}\cdot\dfrac{180}{\pi}}$

A
$\dfrac{7\pi}{6}\cdot\dfrac{180}{\pi}}$

$\dfrac{1260}{6\pi}$

$\boxed{210}$



B
$\dfrac{11\pi}{6}\cdot\dfrac{180}{\pi}}$

$\dfrac{1980\pi}{6\pi}$

$\boxed{330}$



C
$\dfrac{4\pi}{3}\cdot\dfrac{180}{\pi}}$

$\dfrac{720\pi}{3\pi}$

$\boxed{240}$


Qualquer dúvida, deixe nos comentários.
Bons estudos.