Question
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
r
Input Output Arrow
πr
2
Input Output Arrow
A
A = πr
2
A = π (
)
2
Answers
GPT-4o mini
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 \( r = 7 \):
\[
A = \pi (7)^2
\]
2. Calculate \( (7)^2 \):
\[
(7)^2 = 49
\]
3. Substitute back into the area formula:
\[
A = \pi \times 49
\]
4. 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.
\[
A = \pi r^2
\]
1. Substitute \( r = 7 \):
\[
A = \pi (7)^2
\]
2. Calculate \( (7)^2 \):
\[
(7)^2 = 49
\]
3. Substitute back into the area formula:
\[
A = \pi \times 49
\]
4. 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.