An agricultural engineer is evaluating a center-pivot irrigation system that sprays…
MATHEMATICS · Subjective · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles
Problem
An agricultural engineer is evaluating a center-pivot irrigation system that sprays water over a field in the shape of a circular sector. The pivot arm is 450 metres long and rotates through an angle of 145° before stopping at a natural boundary line. A gravel maintenance road is to be built surrounding the exact perimeter of this irrigated sector. Calculate the total length of the maintenance road and the area of the crop field that receives water. As part of your working, select and apply appropriate mathematical strategies, justify the level of precision used for your final values in this large-scale agricultural context, and provide reasoning for why your final numerical solution is realistic for a commercial farm.