Question
If a center pivot is 75m long how much area can it irrigate
Answers
GPT-4o mini
To find out the area that a center pivot irrigates, we can treat the area covered by the pivot as a circle. The radius of this circle is equal to half the length of the pivot.
Given that the length of the center pivot is 75 meters, the radius \( r \) would be:
\[
r = \frac{75m}{2} = 37.5m
\]
The area \( A \) of a circle is calculated using the formula:
\[
A = \pi r^2
\]
Substituting the value of the radius into the formula:
\[
A = \pi (37.5)^2
\]
Calculating \( (37.5)^2 \):
\[
(37.5)^2 = 1406.25
\]
Now, substituting this value into the area formula:
\[
A = \pi \times 1406.25 \approx 3.14159 \times 1406.25 \approx 4420.5 \, m^2
\]
Therefore, a center pivot that is 75 meters long can irrigate approximately **4420.5 square meters**.
Given that the length of the center pivot is 75 meters, the radius \( r \) would be:
\[
r = \frac{75m}{2} = 37.5m
\]
The area \( A \) of a circle is calculated using the formula:
\[
A = \pi r^2
\]
Substituting the value of the radius into the formula:
\[
A = \pi (37.5)^2
\]
Calculating \( (37.5)^2 \):
\[
(37.5)^2 = 1406.25
\]
Now, substituting this value into the area formula:
\[
A = \pi \times 1406.25 \approx 3.14159 \times 1406.25 \approx 4420.5 \, m^2
\]
Therefore, a center pivot that is 75 meters long can irrigate approximately **4420.5 square meters**.