Answer:
38 inches
Step-by-step explanation:
The cookies is in the shape of a circle. The formula for the area of a circle is:
[tex]A=\pi r^2[/tex]
Where r is the radius
The area is given as 113, so we can find the radius:
[tex]A=\pi r^2\\113=\pi r^2\\r^2=\frac{113}{\pi}\\r=\sqrt{\frac{113}{\pi}} \\r=5.997[/tex]
We need to find the circumference, which has the formula:
[tex]C=2\pi r[/tex]
Where r is the radius (We got r = 5.997)
We substitute and find:
[tex]C=2 \pi r\\C = 2 \pi (5.997)\\C=37.68[/tex]
So, the circumference is 37.68 inches.
Rounded to nearest inch, that would be:
38 inches