Question

Expresse em radianos:
a)30° b) 15° c)120° d)210 e)270° f)300°
g)20° h)150°

Answer 1

Para calcularmos usaremos a seguinte fórmula, onde a significa ângulo:
$\boxed{a\cdot\dfrac{\pi rad}{180}}$

A
30°
$30\cdot\dfrac{\pi rad}{180}=$
$\dfrac{30\pi rad}{180}=$
$\boxed{\dfrac{1\pi rad}{6}}$

B
15°
$15\cdot\dfrac{\pi rad}{180}$
$\dfrac{15\pi rad}{180}$
$\boxed{\dfrac{1\pi rad}{12}}$
 
C
120°
$120\cdot\dfrac{\pi rad}{180}$
$\dfrac{120\pi rad}{180}$
$\boxed{\dfrac{2\pi rad}{3}}$

D
210°
$210\cdot\dfrac{\pi rad}{180}$
$\dfrac{210\pi rad}{180}$
$\boxed{\dfrac{7\pi rad}{3}}$

E
270°
$270\cdot\dfrac{\pi rad}{180}$ 
$\dfrac{270\pi rad}{180}$
$\boxed{\dfrac{3\pi rad}{2}}$

F
300°
$300\cdot\dfrac{\pi rad}{180}$
$\dfrac{300\pi rad}{180}$
$\boxed{\dfrac{5\pi rad}{3}}$

G
20°
$20\cdot\dfrac{\pi rad}{180}$
$\dfrac{20\pi rad}{180}$
$\boxed{\dfrac{1\pi rad}{9}}$

H
150°
$150\cdot\dfrac{\pi rad}{180}$
$\dfrac{150\pi rad}{180}$
$\boxed{\dfrac{5\pi rad}{6}}$

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Bons estudos.