Answer:
The diameter is equal to [tex]44\ cm[/tex]
Step-by-step explanation:
we know that
The area of a circle (pizza) is equal to
[tex]A=\pi r^{2}[/tex]
In this problem we have
[tex]A=484\pi \ cm^{2}[/tex]
substitute and solve for r
[tex]484\pi=\pi r^{2}[/tex]
simplify
[tex]484=r^{2}[/tex]
square root both sides
[tex]r=22\ cm[/tex]
Find the diameter
[tex]D=2r=2(22)=44\ cm[/tex]
