Question

Determine a medida, em grau,equivalente a:a)pi/4 radb)3pi/2 RADc)7pi/6radd)2pi/5rad

Answer 1

Substituir π por 180

a)

$x = \dfrac{ \pi }{4} rad \\ \\ \\ x = \dfrac{ 180 }{4} \\ \\ \\ x = 45^o$ 

b)

$x = \dfrac{3. \pi }{2} rad \\ \\ \\ x = \dfrac{ 3. 180 }{2} \\ \\ \\ x = \dfrac{540}{2} \\ \\ \\ x = 270^o$

c) 

$x = \dfrac{7. \pi }{6} rad \\ \\ \\ x = \dfrac{7. 180 }{6} \\ \\ \\ x = \dfrac{1260}{6} \\ \\ \\ x = 210^o$

d)

$x = \dfrac{2. \pi }{5} rad \\ \\ \\ x = \dfrac{2 . 180 }{5} \\ \\ \\ x = \dfrac{360}{5} \\ \\ \\ x = 72^o$