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.
Step-by-step explanation:
Circumference = 87.92
To find the radius;
The formula for finding the circumference is 2πr. Therefore;
[tex]87.92 = 2\pi r \\ \pi = 3.14 \\ therefore \\ 87.92 = 2 \times 3.14r \\87.92 = 6.28r \\ we \: have \: to \: make \: r \: the \: subject \\ r = \frac{87.92}{6.28} \\ = 14 [/tex]
So now that we have our radius to be 14 we substitute it into the equation for finding the area
[tex]area = \pi {r}^{2} \\ r = 14 \\ therefore \\ area = 3.14 \times {14}^{2} \\ = 3.14 \times 196 \\ = 615.44 \: square \: inches[/tex]
