Question

lesson 6 | session 1
salam orders a center pivot irrigation system to water his fields. the system is
made up of a line of connected pipes that turn around a center point. salams
system will be 1,150 ft long.
a. what is the longest distance across the space the system will water?
show your work.

Explanation:

Step1: Identify the geometric shape

The center - pivot irrigation system waters a circular area. The length of the pipes is the radius \(r\) of the circle. Here \(r = 1150\) ft.

Step2: Use the formula for the diameter of a circle

The formula for the diameter \(d\) of a circle is \(d = 2r\).
Substitute \(r=1150\) into the formula: \(d=2\times1150\).

Step3: Calculate the value

\(d = 2300\) ft.

Answer:

The longest distance across the space (the diameter) is \(2300\) ft.