Question

transforme em radianos os seguintes ângulos :

A) 20°
B) 25°
C) 40°
D) 75°
E) 80°
F) 108°
G) 225°
H) 270°
I) 375°
J) 480°​

Answer 1

Resposta:

A) 0,3491 rad

B) 0,4363 rad    

C) 0,6981 rad

D) 1,309 rad

E) 1,39626 rad

F) 1,88496 rad

G) 3,927 rad

H) 4,71239 rad

I) 6,54498 rad

J) 8,37758 rad

Explicação passo-a-passo:

Para transformar de graus para radiano basta usar a seguinte fórmula:

• $x^o.\frac{\pi }{180} =$  valor em radianos

A) substituindo x por 20°

$20^o.\frac{\pi }{180} =0,3491 rad$

B)  substituindo x por 25°

$25^o.\frac{\pi }{180} =0,4363 rad$

C) substituindo x por 40°

$40^o.\frac{\pi }{180} =0,6981 rad$

D) substituindo x por 75°

$75^o.\frac{\pi }{180} =1,309 rad$

E) substituindo x por 80°

$80^o.\frac{\pi }{180} =1,39626 rad$

F) substituindo x por 108°

$108^o.\frac{\pi }{180} =1,88496 rad$

G)  substituindo x por 225°

$225^o.\frac{\pi }{180} =3,927 rad$

H)  substituindo x por 270°

$270^o.\frac{\pi }{180} =4,71239 rad$

I)  substituindo x por 375°

$375^o.\frac{\pi }{180} =6,54498 rad$

J)  substituindo x por 480°​

$480^o.\frac{\pi }{180} =8,37758 rad$

Answer 2

Resposta:

Explicação passo-a-passo:

Transforme em radianos os seguintes ângulos :

A) 20°

TT = 180

x = 20

TT rad/x = 180/20

TT rad/x = 9

TT rad = 9x

9x = TT rad

x = TTrad/9

R.: TT rad/9

_______________

B) 25

TT = 180

x = 25

TT rad/x = 180/25 (:5)/(:5)

TT rad/x = 36/5

5 TT rad = 36x

36x = 5 TT rad

x = 5TT rad/36

R.: 5TT rad/36

___________________

C) 40°

180 = TT rad

40 = x

18/4 (:2)/(:2) = TT rad/x

9/2 = TT rad/x

9x = 2 TT rad

x = 2TT rad/9

R.: 2TT rad/9

__________________

D) 75°

180 = TT rad

75 = x

180/75 (:5)/(:5) = TT rad/x

36/15 (:3)/(:3)= TT rad/x

12/5 = TT rad/x

12x = 5TT rad

x = 5TTrad/12

R.: 5TT rad/12

____________________

E) 80°

TT = 180

x = 80

TT/x = 180/80

TT/x = 18/8 (:2)/(:2)

TT/x = 9/4

4TT rad = 9x

9x = 4 TT rad

x = 4/9 TT rad

x = 4 TT rad/9

R.: 4 TTrad/9

-------------------------

F) 108°

TT rad = 180

x = 108

TT rad/x = 180/108 (:9)/(:9)

TT rad/x = 20/12 (:4)/(:4)

TT rad/x = 5/3

3 TT rad = 5x

5x = 3TT rad

x = 3TT rad/5

R.: 3TTrad/5

________________

G) 225°

TT rad = 180

X = 225

TT rad/x = 180/225 (:5)/(:5)

TT rad/x = 36/45 (:9)/(:9)

TT rad/x = 4/5

5 TT rad = 4x

4x = 5TT rad

x = 5TTrad/4

R.: 5TT rad/4

___________

H) 270°

270 = x

180 = TT rad

270/180 = x / TT rad

27/18 (:9)/(:9) = x / TT rad

3/2 = x/ TT rad

3TT rad/2 = x

x = 3/2 TT rad

x = 3TT rad/2

R.: 3TT rad/2

________________

I) 375°

TT rad = 180

X = 375

TTrad/x = 180/375 (:5)/(:5)

TT rad/x = 36/75 (:3)/(:3)

TT rad/x = 12/25

25 TT rad = 12x

25TT rad/12 = x

x = 25TT rad/12

R.: 25TT rad/12

________________

J) 480°​

TT = 180

x = 480

TT rad/x = 180/480

TT rad/x = 18/48 (:6)/(:6)

TT rad/x = 3/8

8 TT rad = 3x

3x = 8TT rad

x = 8TT rad/3

R.: 8TT rad/3