Answer: 8.4 in
Explanation:
First we calculate the circumference.
The formula to calculate the circumference is:
![C = 2\pi r](https://img.qammunity.org/2020/formulas/mathematics/high-school/obboox3ib0q4nvvq7eyeghtcm9e5cgzk87.png)
Where r is the radius of the circumference
In this case
inches
So:
![C = 2\pi(8)](https://img.qammunity.org/2020/formulas/mathematics/high-school/hhe4cxtpo5c2krhzbulldlpyuca7gk4a6p.png)
![C = 2\pi(8)](https://img.qammunity.org/2020/formulas/mathematics/high-school/hhe4cxtpo5c2krhzbulldlpyuca7gk4a6p.png)
![C = 50.265\ in](https://img.qammunity.org/2020/formulas/mathematics/high-school/9vzx2a8961y9qazhqrs7fi1o1y9q260z94.png)
The cake is divided into 6 equ pieces, so the arc length of each piece is:
![(50.265)/(6)=8.4\ in](https://img.qammunity.org/2020/formulas/mathematics/high-school/39mck6w3ppzoe0ojhgw9quiff7zlv5huv4.png)