charleagrace6081 charleagrace6081
  • 15-04-2019
  • Mathematics
contestada

Matt measures a subway token and calculates that it has an area of 254.34 square millimeters. What is the token's circumference? Use 3.14 for ?.

Respuesta :

calculista
calculista calculista
  • 25-04-2019

Answer:

The token's circumference is [tex]56.52\ mm[/tex]

Step-by-step explanation:

step 1

Find the token's radius  

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]A=254.34\ mm^{2}[/tex]

so

[tex]254.34=(3.14)r^{2}[/tex]

[tex]r^{2}=254.34/(3.14)[/tex]

[tex]r^{2}=81[/tex]

[tex]r=9\ mm[/tex]

step 2

Find the token's circumference  

The circumference of the circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]r=9\ mm[/tex]

substitute

[tex]C=2(3.14)(9)=56.52\ mm[/tex]

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