Question

converta em radianos: a) 45 graus b)120 graus c) 210 graus d) 15 graus e150 graus f) 315 graus h) 310 graus​

Answer 1

Sabendo que 180° equivale a π rad, basta fazer uma regra de três com todas as alternativas :

a)

180° ---------- π rad

45°------------- x

180x=45π

x= $\frac{\pi }{4}$

b)

180°----------- π rad

120° -----------x

180x=120π

x= $\frac{2\pi }{3}$

c)

180°---------- π rad

210°---------- x

180x=210π

x= $\frac{7}{6}$

d)

180° ----------- π rad

15°------------- x

180x=15π

x= $\frac{\pi }{12}$

e)

180°---------- π rad

150°---------x

180x=150π

x= $\frac{5\pi }{6}$

f)

180°---------- π rad

315°--------- x

180x=315π

x= $\frac{7\pi }{4}$

h)

180°----------- π rad

310°----------- x

180x=310π

x=$\frac{31\pi }{18}$

Bons estudos!