Final answer:
The area A of each circular cookie is 16π cm², calculated using the formula A = πr² with the radius r of the cookie being 4 cm.
Step-by-step explanation:
The area A of each cookie can be determined by using the formula for the area of a circle, which is A = πr². Since the diameter of the coffee mug used to cut out the cookies is 8 cm, the radius r is half of that, which is 4 cm. Therefore, the area of each cookie can be calculated as:
A = π × (4 cm)²
= π × 16 cm²
= 16π cm²
Since the question asks for the answer in terms of π, we leave it as 16π cm², without using a numerical approximation for π.