Respuesta :

mhanifa

Answer:

  • 176 cm

Step-by-step explanation:

The shorter arc is 22 cm.

Arc length formula:

  • s = πrθ/180

Circumference formula:

  • C = 2πr

Use the first formula to work out the value of C:

  • 22 = πr*45/180
  • πr/4 = 22
  • πr = 88
  • 2πr = 176
  • C = 176 cm

Length of arc=L=22cm

We know

[tex]\boxed{\sf L=\dfrac{\Theta}{360}\times πr}[/tex]

[tex]\\ \sf\longmapsto 22=\dfrac{45}{360}\times 2πr[/tex]

[tex]\\ \sf\longmapsto \dfrac{2πr}{8}=22[/tex]

[tex]\\ \sf\longmapsto {2πr=176}[/tex]

[tex]\\ \sf\longmapsto Circumference=176cm[/tex]

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