Question

a pizza with a diameter of 18 inches is cut into 10 equal slices. to the nearest square inch, what is the area of each slice of the pizza? a. 51 in² b. 8 in² c. 6 in² d. 25 in²

Explanation:

Step1: Find the radius of the pizza

The diameter of the pizza is \(18\) inches, so the radius \(r=\frac{18}{2} = 9\) inches.

Step2: Calculate the area of the whole pizza

The formula for the area of a circle is \(A=\pi r^{2}\). Substituting \(r = 9\), we get \(A=\pi\times9^{2}=81\pi\) square inches.

Step3: Find the area of each slice

The pizza is cut into \(10\) equal slices, so the area of each slice is \(\frac{81\pi}{10}\). Calculating this, \(\frac{81\times3.1416}{10}\approx\frac{254.4696}{10}=25.44696\), which rounds to \(25\) square inches.

Answer:

D. \(25\ \text{in}^2\)