Question

1) Converta graus em radiano a) 125° b) 640° c) 180° d) 90°

Answer 1

Explicação passo-a-passo:

a)

$\pi - - - - - - 180^{0}$

$x - - - - - - 125^{0}$

$180x = 125\pi$

$x = \frac{125\pi}{180}$

$x = \frac{25\pi}{36} \: rad$

b)

$\pi - - - - - - {180}^{0}$

$x - - - - - - {640}^{0}$

$180x = 640\pi$

$x = \frac{640\pi}{180}$

$x = \frac{64\pi}{18} = \frac{32\pi}{9} \: rad$

c)

$\pi - - - - - {180}^{0}$

$x - - - - - {180}^{0}$

$180x = 180\pi$

$x = \frac{180\pi}{180}$

$x = \pi \: rad$

d)

$\pi - - - - - {180}^{0}$

$x - - - - - {90}^{0}$

$180x = 90\pi$

$x = \frac{90\pi}{180}$

$x = \frac{\pi}{2} \: rad$