If you have a circle with an area of approximately 45 square feet, what is a good estimation for the radius of the circle? What would be the first step in solving for the radius?

Answer 1

To estimate the radius of a circle with an area of approximately 45 square feet, we can use the formula for the area of a circle: A = πr^2, where A is the area and r is the radius.

First, find the approximate value of π. The most commonly used approximation for π is 3.14.

Then, rearrange the formula to solve for the radius:
r = √(A/π)

Plug in the given area of 45 square feet:
r ≈ √(45/3.14)

Calculating this, we get:
r ≈ √(14.3312)
r ≈ 3.79 feet

Therefore, a good estimation for the radius of the circle would be approximately 3.79 feet.

Answer 2

what would be the first step?

Answer 3

The first step in solving for the radius of a circle given its area is to plug the given area into the formula for the area of a circle. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

In this case, we are given that the area is approximately 45 square feet. So, the first step would be to write the formula with the given area:
45 = πr^2

After setting up the formula with the known area, the next step would be to rearrange the formula to solve for the radius, as shown in the previous response.