Question

The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?

Answer 1

We know that the circumference of a circle is given by:

C = 2πr

where C is the circumference and r is the radius of the circle.

In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:

18 = 2πr

Solving for r, we get:

r = 9/π ≈ 2.864 feet

Now we can use the formula for the area of a circle:

A = πr^2

Substituting the value we found for r, we get:

A = π(2.864 ft)^2 ≈ 25.85 ft^2

Therefore, the approximate area inside the circular park is approximately 25.85 square feet.

Answer 2

25.685 square feet.

Explanation:

Circumference = 2 * π * radius

From this, we can derive the formula for the radius:

radius = Circumference / (2 * π)

Let's substitute the value of the circumference and calculate the approximate radius:

radius = 18 / (2 * π)

radius ≈ 18 / (2 * 3.14159)

radius ≈ 2.865 feet

Now that we have the approximate radius, we can calculate the area:

Area ≈ π * radius²

Area ≈ 3.14159 * (2.865)²

Area ≈ 3.14159 * 8.193225

Area ≈ 25.685 square feet

Therefore, the approximate area inside the circular park is approximately 25.685 square feet.