we need a drawing
then the radius is hal diamter, so 4in
the total area of the pizza is
[tex]A=\pi\times r^2[/tex][tex]\begin{gathered} A=\pi\times4^2 \\ A=\pi\times16 \\ A=16\pi \end{gathered}[/tex]pizza is a circle, a whole circle has 360° if we cut the circle on 8 pieces the area of each pieces is represented by the angle
[tex]\frac{360}{8}=45[/tex]now if 16pi is the area to 360, whats the area to 45°(each piece)
[tex]\begin{gathered} 360\longrightarrow16\pi \\ 45\longrightarrow x \end{gathered}[/tex]where x is the area of each piece
To find the value of x we use corss multiplication
multiply 45 by 16pi and divide between 360
[tex]\begin{gathered} x=\frac{45\times16\pi}{360} \\ \\ x=2\pi\approx6.28 \end{gathered}[/tex]the area of each piece of pizza is 2pi or 6.28 square inches
