Step-by-step explanation: To find the area of the cookie, we use the formula for the area of a circle. So, let's start with the formula for the area of a circle.
Area = [tex]\pi r^{2}[/tex]
Notice that here, we're given the diameter instead of the radius. Since the radius is equal to half of the diameter so the radius of this cookie will be equal to half of 5 inches or 2.5 inches.
So plugging into the formula, we have [tex]\pi (2.5 in)^{2}[/tex].
A common mistake is to plug 5 inches into the formula but remember, that we must plug in the radius and not the diameter.
Multiplying, (2.5 in)² is equal to 2.5 inches × 2.5 inches or 6.25 in.².
This means that the area of the cookie is 6.25π in.².
