Question

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Answer 1

Resposta:

a) Arco AB = 4,71cm Arco CD = 10,99cm

b) Arco AB = 18,31cm Arco CD = 1,57cm

c) Arco AB = 8,16cm Arco CD = 9,42cm Arco EF = 6,28cm Arco GH = 4,36cm

Answer 2

Resposta:

Explicação passo-a-passo:

2πr = 360

X = â

πr = 180

X = â

Â.π.r = 180.x

Â.π.r/180 = x

X = â.π.r/180

AB

r = 9 cm

x = 35°

X = â.π.r/180

X = 35 . 3,14 . 9/180 (:9)/(:9)

X = 35 . 3,14 . 1/20

X = 35/20 (:5)/(:5) . 3,14

X = 7/4 . 3,14

X = 1,75 . 3,14

X = 5,495 cm

R.: AB = 5,495 cm

_______________

CD

r = 3 cm

x = 210°

X = â.π.r/180

X = 210 . 3,14 . 3/180 (:3)/(:3)

X = 210 . 3,14 . 1/60

X= 210/60 . 3,14

X = 21/6 (:3)/(:3) . 3,14

X= 7/2 . 3,14

X = 3,5 . 3,14

X = 10,99 cm

R.: CD = 10,99 cm

________________

b) CD

r = 2 cm

x = 45°

X = â.π.r/180

X = 45 . 3,14 . 2/180

X = 45/180 (:45)/(:45) . 3,14 . 2

X = 1/4 . 6,28

X = 6,28/4

X = 1,57 cm

R.: CD = 1,57 cm

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

AB

x= 270°

r = 5 cm

X = â.π.r/180

X = 270. 3,14 . 5/180

X= 27 . 3,14 . 5/18

X= 27/18 (:9)/(:9) . 15,70

X = 3/2 . 15,7

X = 1,5 . 15,7

X = 23,55 cm

R.: AB = 23,55 cm

________________

c)

CD

108°

r = 5 cm

X = â.π.r/180

X = 108 . 3,14 . 5/180 (:5)/(:5)

X = 108 . 3,14 . 1/36

X= 108/36 . 3,14

X = 3 . 3,14

X = 9,42 cm

R.: CD= 9,42 cm

______________

EF

x= 90°

r = 4 cm

X = â.π.r/180

x= 90 . 3,14 . 4/180 (:4)/(:4)

X = 90 . 3,14 . 1/45

X = 90/45 . 3,14

X = 2 . 3,14

X = 6,28 cm

R : EF = 6,28 cm

________________

GH

X = 36°

r = 7 cm

X = â.π.r/180

X = 36 . 3,14 . 7/180

X = 7 . 3,14 . 36/180 (:36)/(:36)

X= 21,98 . 1/5

X = 4,396 cm

R : GH = 4,396 cm

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

AB

r = 9 cm

X = 52°

X = â.π.r/180

X = 52. 3,14 .9/180 (:9)/(:9)

X = 52 . 3,14 . 1/20

X = 52/20 (:4)/(:4) . 3,14

X = 13/5 . 3,14

X = 2,6 . 3,14

X = 8,164 cm

R.: AB = 8,164 cm