let’s find the output of this function when the input is 7. Start by substituting 7 for the radius, r.

r
Input Output Arrow
πr
2

Input Output Arrow
A
A = πr
2

A = π (
)
2

1 answer

To find the output of the function when the input is 7 (the radius \( r \)), we will substitute \( r = 7 \) into the area formula for a circle, which is given by:

\[ A = \pi r^2 \]

  1. Substitute \( r = 7 \):

\[ A = \pi (7)^2 \]

  1. Calculate \( (7)^2 \):

\[ (7)^2 = 49 \]

  1. Substitute back into the area formula:

\[ A = \pi \times 49 \]

  1. Therefore:

\[ A = 49\pi \]

This means that the output of the function when the input radius is 7 is:

\[ A = 49\pi \]

If you want a numerical approximation, using approximately \( \pi \approx 3.14 \):

\[ A \approx 49 \times 3.14 \approx 153.86 \]

So the output can also be expressed as:

\[ A \approx 153.86 \]

Thus, the area of the circle with a radius of 7 is \( 49\pi \) or approximately 153.86.