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.

Answer 1

Answer:

The area of the wrestling ring is 5.29π $m^2$

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:

$C = 2 \pi r$

where r = radius

Hence, the radius of the ring will be:

$4.6\pi = 2\pi r\\r = 4.6 /2 = 2.3m$

The radius of the ring is 2.3 m.

The area of a circle is given as:

$A = \pi r^2$

Hence, the area of the wrestling ring (in terms of π) will be:

$A = \pi * 2.3^2$

$A = 5.29\pi$ $m^2$

The area of the wrestling ring is 5.29π $m^2$