Answer:
\( \frac{2025}{4\pi} \) square centimeters
Step-by-step explanation:
To find the area of each cookie, you need to use the formula for the area of a circle:
\[ A = \pi r^2 \]
Given that the circumference of each cookie is 45 cm, you can find the radius (r) using the circumference formula:
\[ C = 2\pi r \]
First, solve for the radius (r):
\[ 45 = 2\pi r \]
\[ r = \frac{45}{2\pi} \]
Then, plug the value of r into the area formula:
\[ A = \pi \left(\frac{45}{2\pi}\right)^2 \]
Now, calculate the area:
\[ A = \pi \left(\frac{45}{2\pi}\right)^2 \]
\[ A = \pi \left(\frac{45^2}{4\pi^2}\right) \]
\[ A = \frac{45^2}{4\pi} \]
\[ A \approx \frac{2025}{4\pi} \]
So, the area of each cookie made by Tony is approximately \( \frac{2025}{4\pi} \) square centimeters If you need a numerical approximation, you can calculate it further.
