Question

A pizza has a diameter of 12 inches. Each piece has a central angle of radians. What is

the area (sector area) of one slice of pizza?

Answer 1

The area of one slice of pizza is 18 in²

Explanation:

First we have to know that the 360 ​​° representing the circle expressed in radians are expressed as 2π

Now we must calculate the area of ​​the circle

a = π * r²

a = π * (12in)²

a = 144π in²

Now that we have the area of ​​the circumference we multiply it by (π/4) / (2π)

144π in² * (π/4) / (2π) =

144 in² * 1/8 =

18 in²

The area of one slice of pizza is 18 in²