Answer:
The area of the sumo wrestling ring is [tex]5.29 \pi[/tex]
Step-by-step explanation:
The circumference of the circular sumo wrestling ring is [tex]4.6\pi[/tex], that means its radius [tex]r[/tex] is:
[tex]2\pi r=4.6\pi[/tex]
[tex]r=\frac{4.6}{2} =\boxed{2.3\:meters.}[/tex]
Now once we have the radius [tex]r[/tex] of the sumo wrestling ring we can find its area [tex]A[/tex] by the following formula:
[tex]A=\pi r^2[/tex]
Putting in the value of [tex]r=2.3\:meters[/tex] we get:
[tex]A=\pi (2.3m)^2=\boxed{5.29\pi\:\:m^2}[/tex]
Therefore the area of the sumo wrestling ring is [tex]{5.29\pi\:\:m^2[/tex]
