The problem asks to find the area of a circle given the circumference (distance around the circle), which is 1.57 meters.

We can use the formulas:

• Circumference of a circle: $C = 2 \pi r$
• Area of a circle: $A = \pi r^2$

Step 1: Solve for the radius

Using the circumference formula $C = 2 \pi r$, we can solve for the radius $r$: $r = \frac{C}{2 \pi} = \frac{1.57}{2 \pi}$

Step 2: Calculate the radius

Let me calculate this value for you.It seems like I can’t do more advanced data analysis right now. Please try again later. However, I can guide you through the solution:

Step 1: Find the radius

Use the formula for circumference to solve for the radius: $r = \frac{C}{2 \pi} = \frac{1.57}{2 \times 3.1416} \approx 0.25 \, \text{meters}$

Step 2: Calculate the area

Now, use the area formula: $A = \pi r^2 = 3.1416 \times (0.25)^2 = 0.196 \, \text{square meters}$

So, the circle contains approximately 0.196 square meters.

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Related Questions:

1. What is the formula for circumference in terms of diameter?
2. How does the area of a circle change if the radius is doubled?
3. Can the area formula be applied to other shapes?
4. What are the units for measuring circumference and area?
5. How do we find the diameter from the area?

Tip: Always remember to use consistent units when calculating geometry problems!