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

1 answer

To find the area of a circle, you can use the formula:

\[ \text{Area} = \pi r^2 \]

where \( r \) is the radius of the circle. The radius is half of the diameter. Given that the diameter of the circle is 6 cm, the radius can be calculated as:

\[ r = \frac{\text{diameter}}{2} = \frac{6 \text{ cm}}{2} = 3 \text{ cm} \]

Now, plug the radius into the area formula:

\[ \text{Area} = \pi (3 \text{ cm})^2 = \pi \times 9 \text{ cm}^2 = 9\pi \text{ cm}^2 \]

Using the value of \( \pi \approx 3.14 \):

\[ \text{Area} \approx 9 \times 3.14 \text{ cm}^2 \approx 28.26 \text{ cm}^2 \]

Now, rounding to the nearest tenth:

\[ \text{Area} \approx 28.3 \text{ cm}^2 \]

Thus, the area of the circle is approximately \( \boxed{28.3} \) cm².