Certainly! Let's go through each of the steps together.
Step 1: What is the formula for finding the area of a circle?
The formula for the area \( A \) of a circle is given by: \[ A = \pi r^2 \] where \( r \) is the radius of the circle and \( \pi \) is approximately 3.14.
Step 2: What would be the first step in solving for the radius?
The first step in solving for the radius is to rearrange the formula to solve for \( r \). You can do this by dividing both sides by \( \pi \): \[ r^2 = \frac{A}{\pi} \]
Step 3: What would be the second step in solving for the radius?
The second step is to take the square root of both sides to solve for \( r \): \[ r = \sqrt{\frac{A}{\pi}} \]
Step 4: The approximate radius would be about
Given that the area \( A \) is approximately 45 square feet, we can substitute that value into the rearranged formula: \[ r \approx \sqrt{\frac{45}{\pi}} \] Using \( \pi \approx 3.14 \): \[ r \approx \sqrt{\frac{45}{3.14}} \approx \sqrt{14.33} \approx 3.79 \text{ feet} \]
So, a good estimation for the radius of the circle would be about 3.8 feet.