Calculate ∬y da where r is the region between the disks x^2+y^2 < =1 & x^2+(y-1)^2 < =1 show all work. (also explain why you split up the regions)

Technicians have installed a center pivot, circular irrigator for a farm that covers 25 acres. a.) how long is the irrigation boom (in feet) from the center pivot to its farthest extent? b.) if the irrigation boom makes 4 full revolutions in a day, how many miles does the end of the boom travel in 5 days?