1. **State the problem:** We need to find the area of a sand mandala shaped like a circle with radius $r = 0.5$ meters.
2. **Formula:** The area $A$ of a circle is given by the formula:
$$A = \pi r^2$$
where $\pi$ is approximately 3.14.
3. **Substitute values:** Plug in $r = 0.5$ and $\pi = 3.14$:
$$A = 3.14 \times (0.5)^2$$
4. **Calculate the square of the radius:**
$$(0.5)^2 = 0.5 \times 0.5 = 0.25$$
5. **Multiply by $\pi$:**
$$A = 3.14 \times 0.25$$
6. **Simplify multiplication:**
$$A = 0.785$$
7. **Answer:** The area of the sand mandala is approximately **0.785 m²**.
This matches the first option given.
Circle Area A7F106
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.