To find the area of one slice of pizza, we can follow these steps:
-
Calculate the radius of the pizza.
The diameter is given as 1212 inches, so the radius \( r \) is half of that:
\[ r = \frac{1212}{2} = 606 \text{ inches} \] -
Calculate the area of the whole pizza.
The area \( A \) of a circle is given by the formula:
\[ A = \pi r^2 \]
Substituting the radius:
\[ A = \pi (606)^2 \]
Calculating \( 606^2 \):
\[ 606^2 = 367236 \]
Therefore,
\[ A = \pi \times 367236 \approx 1150.79 \times 367236 \approx 1150.79 \times 3.14159 \approx 1150.79 \times 3.14159 \approx 1150.79 \approx 1150.79 \approx 367,236\pi \text{ square inches (using } \pi \approx 3.14159) \] -
Calculate the area of one slice.
Since the pizza is cut into 66 equal slices, the area of one slice \( A_{slice} \) is:
\[ A_{slice} = \frac{A}{66} = \frac{367236\pi}{66} \]
Now, let's calculate that:
\[ A_{slice} \approx \frac{367236 \times 3.14159}{66} \approx \frac{1150.79}{66} \approx 5567.22 \text{ square inches} \] Therefore, the area of one slice is approximately:
\[ \frac{367236 \pi}{66} \approx 5540.62 \text{ square inches} \]
Thus, the area of one slice is approximately \(\boxed{5540.62} \text{ square inches}\).