To find the area of one slice of the pizza, we first need to calculate the area of the entire pizza. The formula for the area \( A \) of a circle is given by:
\[ A = \pi r^2 \]
Where \( r \) is the radius of the circle.
-
Calculate the radius: The diameter of the pizza is 16 inches, so the radius \( r \) is:
\[ r = \frac{diameter}{2} = \frac{16}{2} = 8 \text{ inches} \]
-
Calculate the area of the pizza: Now we can plug the radius into the area formula:
\[ A = \pi (8)^2 = \pi \times 64 = 64\pi \text{ square inches} \]
-
Calculate the area of one slice: Since the pizza is cut into 6 equal slices, the area of one slice can be calculated by dividing the total area by the number of slices:
\[ \text{Area of one slice} = \frac{A}{66} = \frac{64\pi}{66} \]
Simplifying this further:
\[ \text{Area of one slice} = \frac{32\pi}{33} \text{ square inches} \]
-
Using the value of \(\pi\): For a numerical approximation, using \(\pi \approx 3.14\):
\[ \text{Area of one slice} \approx \frac{32 \times 3.14}{33} \approx \frac{100.48}{33} \approx 3.05 \text{ square inches} \]
Thus, the area of one slice of the pizza is approximately \( 3.05 \text{ square inches} \), or exactly \( \frac{32\pi}{33} \text{ square inches} \) if expressed in terms of \(\pi\).