Answer: 8.4 in
Step-by-step explanation:
First we calculate the circumference.
The formula to calculate the circumference is:
[tex]C = 2\pi r[/tex]
Where r is the radius of the circumference
In this case [tex]r = 8[/tex] inches
So:
[tex]C = 2\pi(8)[/tex]
[tex]C = 2\pi(8)[/tex]
[tex]C = 50.265\ in[/tex]
The cake is divided into 6 equ pieces, so the arc length of each piece is:
[tex]\frac{50.265}{6}=8.4\ in[/tex]