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]
