Question

4- Converter: a) 7π/6 rad em graus; b) 5π/4 rad em graus; c) 4π/3 rad em graus; d) 11π/6 rad em graus;

Answer 1

Explicação passo-a-passo:

$\sf \pi~rad=180^{\circ}$

a)

$\sf \dfrac{7\pi}{6}~rad=\dfrac{7\cdot180^{\circ}}{6}=\dfrac{1260^{\circ}}{6}=\red{210^{\circ}}$

b)

$\sf \dfrac{5\pi}{4}~rad=\dfrac{5\cdot180^{\circ}}{4}=\dfrac{900^{\circ}}{4}=\red{225^{\circ}}$

c)

$\sf \dfrac{4\pi}{3}~rad=\dfrac{4\cdot180^{\circ}}{3}=\dfrac{720^{\circ}}{3}=\red{240^{\circ}}$

d)

$\sf \dfrac{11\pi}{6}~rad=\dfrac{11\cdot180^{\circ}}{6}=\dfrac{1980^{\circ}}{6}=\red{330^{\circ}}$