Question

a circular pizza that is 15 inches in diameter is cut into 6 equal slices. what is the area of one of the slices?
the area of one slice is \\(\square\\) \\(\text{in}^2\\).
(round to the nearest tenth as needed.)

Explanation:

Step1: Find the radius of the pizza

The diameter of the pizza is 15 inches, so the radius \( r \) is half of the diameter.
\( r=\frac{15}{2} = 7.5 \) inches.

Step2: Calculate the area of the whole pizza

The formula for the area of a circle is \( A=\pi r^{2} \). Substituting \( r = 7.5 \) into the formula:
\( A=\pi\times(7.5)^{2}=\pi\times56.25\approx3.1416\times56.25 = 176.7146 \) square inches.

Step3: Find the area of one slice

Since the pizza is cut into 6 equal slices, the area of one slice is the area of the whole pizza divided by 6.
\( \text{Area of one slice}=\frac{176.7146}{6}\approx29.4524 \) square inches. Rounding to the nearest tenth gives approximately 29.5 square inches.

Answer:

29.5