Step-by-step explanation:
[tex]Circumference=d\pi\\Circumference=2r\pi[/tex]
Since we need to find the radius, then we will rearrange the second formula.
[tex]Radius=\frac{C}{2\pi }[/tex]
[tex]Radius=\frac{457}{2\pi }[/tex]
[tex]Radius=\frac{457}{6.28}[/tex]
[tex]Radius= 72.8 (rounded)[/tex]
So, the radius of a circle that has a circumference of 457 is about 72.8 cm