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

38 inches

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=(113)/(\pi)\\r=\sqrt{(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