Answer:
16 inches
Explanation:
The formula for the area of a circle is A = πr^2, where r is the radius of the circle. To find the diameter, you need to find the radius first.
A = πr^2
200.96 = 3.14 x r^2
Divide both sides by 3.14:
64 = r^2
Take the square root of both sides:
r ≈ 8
The radius is approximately 8 inches.
To find the diameter, you multiply the radius by 2:
d = 2r
d ≈ 16
The diameter of the cookie cake is approximately 16 inches.
Therefore, the answer is 16 inches.