Question

Transforme para graus os radianos abaixo:
a) 7$\pi$/6 rad
b)35$\pi$/4 rad
c) 5$\pi$/2 rad
d)2 $\pi$ rad

Answer 1

π rad = 180°

a)
π rad --------------- 180°
7π/6 rad ---------- x

$\pi . x = 180. \frac{7 \pi }{6} \\ \\ x = \frac{180.7}{6} \\ \\ x = 30.7 \\ \\ x = 210^o$


b)
π rad ---------------------- 180°
35π/4 rad ---------------- x

$\pi .x = 180. \frac{35 \pi }{4} \\ \\ x = \frac{180.35}{4} \\ \\ x = 45.35 \\ \\ x = 1575^o$


c)
π rad ------------------ 180°
5π/2 rad ------------- x

$\pi . x = 180. \frac{5\pi}{2} \\ \\ x = \frac{180.5}{2} \\ \\ x = 90.5 \\ \\ x = 450^o$


d)
π rad -------------------- 180°
2π rad ------------------- x

πx = 180.2π
x = 180*2
x = 360°

Respostas:

a) 210°
b) 1575°
c) 450°
d) 360°