Question

escreva em radianos os ângulo de:

a) 220 graus
b) 315 graus

Answer 1

Resposta:

Explicação passo-a-passo:

será sempre aplicada a regra de 3

sendo pi = 180, logo:

a) 180 - pi

  220 - x

180x = 220pi

x 220pi/180

x= 11pi/9

b) 180 - pi

   315 - x

180x = 315pi

x= 315pi/180

Answer 2

Explicação passo-a-passo:

Sabemos que $180^{\circ} =\pi\ rad$.

a)

$180^{\circ} -----\ \pi \ rad\\220^{\circ} -----\ x\\\\\dfrac{180^{\circ} }{220^{\circ} } =\dfrac{\pi }{x}\\\\ x.180=220\pi \\\\x=\dfrac{220\pi }{180}\\\\\boxed{\boxed{x=\dfrac{11\pi }{9}\ rad }}$

b)

$180^{\circ} -----\ \pi \ rad\\315^{\circ} -----\ x\\\\\dfrac{180^{\circ} }{315^{\circ} } =\dfrac{\pi }{x}\\\\ x.180=315\pi \\\\x=\dfrac{315\pi }{180}\\\\\boxed{\boxed{x=\dfrac{7\pi }{4}\ rad }}$