Answer:
The area of the pizza is 177 square inches.
Explanation:
We know that the length of a circumference is defined as
![L=2\pi r](https://img.qammunity.org/2020/formulas/mathematics/middle-school/f3988vdrrfevtydsghpujam8s2og8edksj.png)
Where
by given.
Replacing the length we can find the radius
![L=2\pi r\\47.1in=2(3.14)r\\r=(47.1)/(6.28)in \\r=7.5in](https://img.qammunity.org/2020/formulas/mathematics/high-school/60nqrecozs4qrcm95flt3giqi1k4vksm4m.png)
Now, we use this radius to find the area, which is defined as
![A=\pi r^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2z11w6ajg8k9itft7shcdqinea4lmf008k.png)
Where
and
![\pi = 3.14](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3zfes56daztqslfd3xh6m403jrt9tjkkno.png)
So, the area is
![A=(3.14)(7.5in)^(2)\\ A=176.63 in^(2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/z9klfhoyas0ez0envdsx2fr0y1g0mq1x3c.png)
Therefore, the area of the pizza is 177 square inches.