3 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. Salam's system will be \( 1,150 \mathrm{ft} \) long. a. What is the longest distance across the space the system will water? Show your work.

To find the longest distance across the space the center pivot irrigation system will water, we need to determine the diameter of the circular area it covers. The length of the system is the radius when it is fully extended. Here, the length is \( 1,150 \mathrm{ft} \). 1. **Find the diameter:** The diameter \( d \) is twice the radius \( r \). \[ d = 2 \times r = 2 \times 1,150 \mathrm{ft} = 2,300 \mathrm{ft} \] Therefore, the longest distance across the space the system will water is **2,300 feet**. Remember, in the world of agriculture, efficiency shines through! A well-installed center pivot system can efficiently water large areas, saving both water and time for farmers like Salam!