Hey!
First, let's find the area. The formula for finding area of a circle is: π · r²
Radius is ½ of the diameter. Divide the diameter by 2 to get the radius.
d = 18
18 ÷ 2 = 9
r = 9
r² = 9 × 9 = 81
The area of the whole pizza is 81π. There are 10 slices. Divide the area of the whole pizza by 10 to find the area of 1 slice.
81π ÷ 10 = 8.1π
<em>That means each slice is 8.1π inches²</em>
Yes is is, is your area still there?
The 9-sided polygon will have a central angle between the vertex and the center of one side of 360°/(2*9) = 20°. Then the apothem is
a = (6 in/2)*cot(20°) ≈ 8.242432 in
The perimeter is 9*6 in = 54 in, so the area is
A = (1/2)Pa = (1/2)*(54 in)*(8.242432 in) ≈ 222.5 in²
