Answer:
[tex]C=8.5\pi\ ft[/tex]
[tex]C=102\pi\ in[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=\pi D[/tex]
where
D is the diameter of the circle
In this problem we have
The diameter is
[tex]D=8\ ft\ 6\ in[/tex]
Remember that
[tex]1\ ft=12\ in[/tex]
First case
Find the circumference in feet
so
[tex]D=8\ ft\ 6\ in=8+6/12=8.5\ ft[/tex]
substitute
[tex]C=\pi (8,5)[/tex]
[tex]C=8.5\pi\ ft[/tex]
Second case
Find the circumference in inches
so
[tex]D=8\ ft\ 6\ in=8*12+6=102\ in[/tex]
substitute
[tex]C=\pi (102)[/tex]
[tex]C=102\pi\ in[/tex]
