Respuesta :
Answer:
The area of the wrestling ring is 5.29π [tex]m^2[/tex]
Step-by-step explanation:
A sumo wrestling ring is circular and has a circumference of 4.6π meters.
To find its area, we need to first find its radius.
The circumference of a circle is given as:
[tex]C = 2 \pi r[/tex]
where r = radius
Hence, the radius of the ring will be:
[tex]4.6\pi = 2\pi r\\r = 4.6 /2 = 2.3m[/tex]
The radius of the ring is 2.3 m.
The area of a circle is given as:
[tex]A = \pi r^2[/tex]
Hence, the area of the wrestling ring (in terms of π) will be:
[tex]A = \pi * 2.3^2[/tex]
[tex]A = 5.29\pi[/tex] [tex]m^2[/tex]
The area of the wrestling ring is 5.29π [tex]m^2[/tex]