The diameter of a circle is 20 m . Find its area in terms of $$ \pi $$. Answer Attempt 1 out of 2 $$ A=\square \mathrm{m}^{2} $$

Question

UpStudy AI · Accepted Answer

To find the area of a circle in terms of $$ \pi $$, we can use the formula:

$$
A = \pi r^2
$$

where $$ r $$ is the radius of the circle.

1. **Find the radius**: The radius $$ r $$ is half of the diameter. Given that the diameter is 20 m, we can calculate the radius as follows:

$$
r = \frac{d}{2} = \frac{20}{2} = 10 \text{ m}
$$

2. **Calculate the area**: Now we can substitute the radius into the area formula:

$$
A = \pi (10)^2 = \pi \cdot 100 = 100\pi
$$

Thus, the area of the circle in terms of $$ \pi $$ is:

$$
A = 100\pi \text{ m}^2
$$

So, the final answer is:

$$
A = 100\pi \text{ m}^2
$$
The area of the circle is $$ 100\pi $$ square meters.

The diameter of a circle is 20 m . Find its area in terms of \( \pi \). Answer Attempt 1 out of 2 \( A=\square \mathrm{m}^{2} \)