The diameter of a circle is 6 cm . Find its area to the nearest tenth

Question

UpStudy AI · Accepted Answer

1. The diameter of the circle is $$6$$ cm, so the radius $$r$$ is half of the diameter:
   $$
   r = \frac{6}{2} = 3 \text{ cm}
   $$

2. The area $$A$$ of a circle is given by the formula:
   $$
   A = \pi r^2
   $$

3. Substitute the radius into the formula:
   $$
   A = \pi (3)^2 = 9\pi
   $$

4. Using the approximation $$\pi \approx 3.1416$$, calculate the area:
   $$
   A \approx 9 \times 3.1416 = 28.2744 \text{ cm}^2
   $$

5. Rounding to the nearest tenth:
   $$
   A \approx 28.3 \text{ cm}^2
   $$
The area of the circle is approximately 28.3 cm².

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