Answer:
The area of one slice of this pizza is equal to [tex]6.125\pi\ in^2[/tex]
Step-by-step explanation:
step 1
Find the area of the complete pizza
The area of the circle is given by the formula
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=14/2=7\ in[/tex] ----> the radius is half the diameter
substitute
[tex]A=\pi (7)^{2}[/tex]
[tex]A=49\pi\ in^2[/tex]
step 2
Divide the complete area by 8 (number of slices of pizza)
[tex]49\pi/8=6.125\pi\ in^2[/tex]
therefore
The area of one slice of this pizza is equal to [tex]6.125\pi\ in^2[/tex]