Step-by-step explanation:
First, the pizza is 18 inches in diameter, so
[tex]d = 18[/tex]
and, because the radium is half of the diameter,
[tex]r = 9[/tex]
Note that the units are inches.
Using the equation
[tex]a = \pi r ^{2} [/tex]
where a is the area of a circle, we know that the area of the whole pizza is approx.254.5 square inches. Divide by 8 to find the area of 1/8 of a pizza. Each slice will have an area of approx. 32 square inches. For a precise result, the answer is
[tex]a(s)= \frac{(\pi \times 9^{2})}{s} [/tex]
where a(s) is the area of a slice of pizza, and s is the total number of slices, given they are equal in size.
