et’s find the output of this function, or the area of the circle, when the input

Question

of the function, or the radius of the circle, is 12. Start by substituting 12
for the radius, r.
r
Input Output Arrow
πr
2

Input Output Arrow
A

A = πr
2

A = π(
)
2

Answer 1

To find the area \( A \) of a circle when the radius \( r \) is 12, we can use the formula:

\[ A = \pi r^2 \]

You want to substitute the value for \( r \):

1. Substitute \( r = 12 \):

   \[ A = \pi (12)^2 \]

2. Calculate \( (12)^2 \):

   \[ (12)^2 = 144 \]

3. Now substitute \( 144 \) back into the area formula:

   \[ A = \pi \times 144 \]

4. Therefore, the area \( A \) is:

   \[ A = 144\pi \]

So the output, or the area of the circle with a radius of 12, is:

\[ A = 144\pi \]

If you wish to have a numerical approximation:

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

\[ A \approx 144 \times 3.14 \approx 452.16 \]

Thus, the area of the circle with a radius of 12 is \( 144\pi \), or approximately \( 452.16 \).