• SAT
High School

A sumo wrestling ring is circular and has a circumference of [tex]4.6\pi[/tex] meters. What is the area [tex]A[/tex] of the sumo wrestling ring in square meters? Give your answer in terms of [tex]\pi[/tex].

Answer :

The area of this circular sumo wrestling ring is equal to 5.29π square meters.

Given the following data:

Circumference = 4.6 π meters.

How to calculate the circumference of a circle?

Mathematically, the circumference of a circle can be calculated by using this formula:

Circumference = 2πr

Where:

r is the radius of a circle.

Next, we would determine the radius of this circular sumo wrestling ring by using the formula above.

Making radius (r) the subject of formula, we have:

r = Circumference/2π

Substituting the given parameters into the formula, we have;

Radius, r = 4.6π/2π

Radius, r = 2.3 meters.

What is the area of a circle?

The area of a circle simply can be defined as the total space occupied or region enclosed by a circle within its boundary, and in a two-dimensional plane.

How to calculate the area of a circle?

Mathematically, the area of a circle can be calculated by using this formula:

Area = πr²

Where:

r is the radius of a circle.

Substituting the given parameters into the formula, we have;

Area = π × 2.3²

Area = π × 5.29

Area of this circular sumo wrestling ring = 5.29π square meters.

Read more on area of a circle here: https://brainly.com/question/12269818

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Complete Question:

A sumo wrestling ring is circular and has a circumference of 4.6π meters.

What is the area of the sumo wrestling ring in square meters?

(Give your answer in terms of π)

Answer:

the answer is 5.29pi

Explanation:

I took it in the test