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Soluções para a tarefa
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
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