Answer:
[tex](x)^{2}+(y)^{2}=90,000[/tex]
Step-by-step explanation:
we know that
The equation of the circle (the roof of the Colosseum) in standard form is equal to
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
where
(h,k) is the center and r is the radius
we have
(h,k)=(0,0) ----> is the origin
[tex]r=600/2=300\ ft[/tex] ----> the radius is half the diameter
substitute
[tex](x-0)^{2}+(y-0)^{2}=300^{2}[/tex]
[tex](x)^{2}+(y)^{2}=90,000[/tex]
