Answer:
The formula for the area is πr² where r is the radius.
But the radius wasn't given so we have to ring it via the circumference given.
Explanation:
Circumference = 87.92
To find the radius;
The formula for finding the circumference is 2πr. Therefore;
![87.92 = 2\pi r \\ \pi = 3.14 \\ therefore \\ 87.92 = 2 * 3.14r \\87.92 = 6.28r \\ we \: have \: to \: make \: r \: the \: subject \\ r = (87.92)/(6.28) \\ = 14](https://img.qammunity.org/2022/formulas/mathematics/college/1ybn7x1gb9u5leglmx0mi7d6yusj625swk.png)
So now that we have our radius to be 14 we substitute it into the equation for finding the area
![area = \pi {r}^(2) \\ r = 14 \\ therefore \\ area = 3.14 * {14}^(2) \\ = 3.14 * 196 \\ = 615.44 \: square \: inches](https://img.qammunity.org/2022/formulas/mathematics/college/yjbue75dv1zfhcufe1u57lmaxiza9jtwlp.png)