Question

A bakery sells a giant decorated cookie for birthdays. The area of the cookie is about 113 square inches. What is the circumference of the cookie rounded to the nearest inch

Answer 1

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:

$A=\pi r^2$

Where r is the radius

The area is given as 113, so we can find the radius:

$A=\pi r^2\\113=\pi r^2\\r^2=\frac{113}{\pi}\\r=\sqrt{\frac{113}{\pi}} \\r=5.997$

We need to find the circumference, which has the formula:

$C=2\pi r$

Where r is the radius (We got r = 5.997)

We substitute and find:

$C=2 \pi r\\C = 2 \pi (5.997)\\C=37.68$

So, the circumference is 37.68 inches.

Rounded to nearest inch, that would be:

38 inches