The diameter of a circle is 35 cm. Find its area to the nearest whole number.

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 35 cm, the radius \( r \) is:

\[ r = \frac{35}{2} = 17.5 \text{ cm} \]

Now, plug the radius into the area formula:

\[ \text{Area} = \pi (17.5)^2 \]

Calculating \( (17.5)^2 \):

\[ (17.5)^2 = 306.25 \]

Now, substituting that back into the area formula:

\[ \text{Area} = \pi \times 306.25 \]

Using \( \pi \approx 3.14 \):

\[ \text{Area} \approx 3.14 \times 306.25 \approx 964.225 \]

Rounding to the nearest whole number, the area of the circle is:

\[ \text{Area} \approx 964 \text{ cm}^2 \]

Thus, the area of the circle is \( \boxed{964} \) cm².