Question

A sumo wrestling ring is circular and has a circumference of 4.6\pi \text{ meters}4.6π meters4, point, 6, pi, start text, space, m, e, t, e, r, s, end text. What is the area AAA of the sumo wrestling ring in square meters? Give your answer in terms of \piπpi. A=A=A, equals \text{m}^2m 2

Answer 1

5.29pi

Explanation:

Answer 2

The area of the sumo wrestling ring is
`5.29 \pi`

Explanation:

The circumference of the circular sumo wrestling ring is
`4.6\pi`, that means its radius
`r` is:

`2\pi r=4.6\pi`

`r=(4.6)/(2) =\boxed{2.3\:meters.}`

Now once we have the radius
`r` of the sumo wrestling ring we can find its area
`A` by the following formula:

`A=\pi r^2`

Putting in the value of
`r=2.3\:meters` we get:

`A=\pi (2.3m)^2=\boxed{5.29\pi\:\:m^2}`

Therefore the area of the sumo wrestling ring is
`{5.29\pi\:\:m^2`