A circle has a radius of 12 m . Determine its area to the nearest tenth. Dle:

Question

UpStudy AI · Accepted Answer

To determine the area of a circle with a radius of 12 meters, we can use the formula for the area of a circle:

$$
\text{Area} = \pi r^2
$$

where:
- $$ \pi $$ (pi) is approximately 3.14159
- $$ r $$ is the radius of the circle

**Step-by-Step Calculation:**

1. **Identify the radius:**
   $$
   r = 12 \, \text{meters}
   $$

2. **Square the radius:**
   $$
   r^2 = 12^2 = 144 \, \text{m}^2
   $$

3. **Multiply by $$ \pi $$:**
   $$
   \text{Area} = \pi \times 144 \approx 3.14159 \times 144
   $$

4. **Calculate the multiplication:**
   $$
   \text{Area} \approx 452.389 \, \text{m}^2
   $$

5. **Round to the nearest tenth:**
   $$
   \text{Area} \approx 452.4 \, \text{m}^2
   $$

**Final Answer:**
The area of the circle is **452.4 square meters** when rounded to the nearest tenth.
The area of the circle is 452.4 square meters.

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