Question
If you have a circle with an area of approximately 45 square feet, what is a good estimation for the radius of the circle?(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1: What is the formula for finding the area of a circle? Response area
Step 2: What would be the first step in solving for the radius? Response area
Step 3: What would be the second step in solving for the radius? Response area
Step 4: The approximate radius would be about
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1: What is the formula for finding the area of a circle? Response area
Step 2: What would be the first step in solving for the radius? Response area
Step 3: What would be the second step in solving for the radius? Response area
Step 4: The approximate radius would be about
Answers
GPT-4o mini
To estimate the radius of a circle given its area, let's go through the steps:
**Step 1:** The formula for finding the area of a circle is
Response: \( A = \pi r^2 \)
**Step 2:** The first step in solving for the radius would be
Response: Substitute the given area into the formula, so \( 45 = \pi r^2 \).
**Step 3:** The second step in solving for the radius would be
Response: Solve for \( r^2 \) by rearranging the equation, so \( r^2 = \frac{45}{\pi} \).
**Step 4:** The approximate radius would be about
Response: \(\sqrt{\frac{45}{\pi}} \approx \sqrt{\frac{45}{3.14}} \approx \sqrt{14.33} \approx 3.79\), so the approximate radius is about 3.8 feet.
**Step 1:** The formula for finding the area of a circle is
Response: \( A = \pi r^2 \)
**Step 2:** The first step in solving for the radius would be
Response: Substitute the given area into the formula, so \( 45 = \pi r^2 \).
**Step 3:** The second step in solving for the radius would be
Response: Solve for \( r^2 \) by rearranging the equation, so \( r^2 = \frac{45}{\pi} \).
**Step 4:** The approximate radius would be about
Response: \(\sqrt{\frac{45}{\pi}} \approx \sqrt{\frac{45}{3.14}} \approx \sqrt{14.33} \approx 3.79\), so the approximate radius is about 3.8 feet.