I need help on the following please?

A group of clowns performs in a ring with an area of about 2,123 square feet. What is the circumference of the ring? Choose the closest answer.

156 ft.
52 ft.
163 ft.
82 ft.

Thank You. Please explain the answer

Area =πr^2

Circumference = 2πr

Solve for r in first equation to put in second.

1.457

i saw it in a calculator

To find the circumference of a ring, we need to know the radius or diameter of the ring. However, only the area of the ring is given.

To find the radius from the given area, we can use the formula for the area of a circle:

Area = π * radius^2

Here, the given area is 2,123 square feet. Rearranging the formula, we can solve for the radius:

radius = √(Area / π)
radius = √(2,123 / 3.14)
radius ≈ √676.27

Using a calculator, you'll find that the radius is approximately 26.02 feet (rounded to two decimal places).

The circumference of a circle is given by the formula:

Circumference = 2 * π * radius

Plugging in the value we found for the radius:

Circumference = 2 * 3.14 * 26.02
Circumference ≈ 163.33 ft

From the given options, the closest answer to the calculated circumference is 163 ft.