Question

Faça a conversão de graus para radianos:

a) 90⁰;
b) 135⁰;
c) 287⁰;
d) 1.440⁰.​

Answer 1

Resposta:

Explicação passo a passo:

a.

180° - π

90° - x

180°x=90°π

x=90°π/180° [simplifica por 90]

x=π/2 rad

b.

180° - π

135° - x

180°x=135°π

x=135°π/180° [simplifica por 45]

x=3π/4 rad

c.

180° - π

287° - x

180°x=287°π

x=287π/180 rad

d.

180° - π

1440° - x

180°x =1440°π

x=1440π/180

x= 8π rad

c.

d.

Answer 2

Faça a conversão de graus para radianos:

a) 90⁰:

π rad => 180

x = 90

π rad/ x = 180/90

π rad / x =2

π rad = 2x

x = " π /2 rad"

___________

b) 135⁰;

135 = x

180 = π rad

135/180 (:5)/(5)= x/ π rad

27/36 = x / π rad

"3/4 π rad = x"

x = 3/ 4 π rad"

___________

c) 287⁰:

287= x

'180 = π rad''

"287/180 π rad = x"

"x = 287 / 180 π rad"

____________

d) 1.440⁰.:

1440= x

"180= π rad"

1440/180= x / π Rad

144/18 = x / π rad

'72/9 = x/ π rad'''

8 π Rad =x

X= 8 π rad"