Question

Transforme os arcos em radiano: a) 40°, b) 30°, c) 35°, d) 15°

Answer 1

a)
180° ⇒ π
40°   ⇒ x

$x= \frac{40 \pi }{180} ~~simplificando~~ \frac{40:20}{180:20} = \frac{2}{9} \\ \\ x= \frac{2 \pi }{9}rad$ 

b)
180° ⇒ π
30°  ⇒ x

$x= \frac{30 \pi }{180} ~~simplificando~~ \frac{30:30}{180:30} = \frac{1}{6} \\ \\ x= \frac{ \pi }{6}$ 

c)
180° ⇒ π
35°  ⇒ x

$x= \frac{35 \pi }{180} ~~~simplificando~~ \frac{35:5}{180:5} = \frac{7}{36} \\ \\ x= \frac{7 \pi }{36} rad$ 

d)
180° ⇒ π
15°   ⇒ x

$x= \frac{15 \pi }{180} ~~simplificando~~ \frac{15:15}{180:15} = \frac{1}{12} \\ \\ x= \frac{ \pi }{12} rad$