An agricultural scientist is analyzing a new pivot irrigation system that is…
MATHEMATICS · Subjective · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
An agricultural scientist is analyzing a new pivot irrigation system that is programmed to water a specific sector of a large circular crop field. The sprinkler mechanism has a reach radius of 45 meters and sweeps through an angle of 43π radians. To protect the newly planted seeds, a temporary fence must be erected around the exact boundary of the watered sector. Calculate the total perimeter of this watered sector to determine the exact amount of fencing needed, and justify whether your calculated value and chosen mathematical strategy are appropriate for real-world agricultural planning.