1 answer
(click or scroll down)
Bot GPT-4o To find the circumference of the circle given that the square has an area of 144 m², we need to follow these steps:
1. **Calculate the side length of the square:**
The area of a square is given by \( \text{Side}^2 \). If the area is 144 m², then:
\[
\text{Side}^2 = 144 \implies \text{Side} = \sqrt{144} = 12 \, \text{m}
\]
2. **Determine the diameter of the circle:**
The square’s side length is equal to the circle’s diameter because the circle is circumscribed around the square. Hence, the diameter of the circle is 12 meters.
3. **Calculate the circumference of the circle:**
The circumference \( C \) of a circle is given by:
\[
C = \pi \times \text{diameter}
\]
Given that \( \pi \) is approximately 3.14 and the diameter is 12 meters:
\[
C = 3.14 \times 12 = 37.68 \, \text{m}
\]
4. **Round the circumference to the nearest tenth:**
Rounding 37.68 to the nearest tenth gives 37.7.
Thus, the circumference of the circle is approximately **37.7 m**.
So the correct answer is:
- **37.7 m**