Problema Solution
A weather radar system cans a circular area of radius 50 miles. In one second, it scans a sector with central angle of 65 degrees. what area (to the nearest square mile) is scanned in that time?
Answer provided by our tutors
The total area of a circle with radius r = 50 mi.
A = r^2*pi
A = 50^2*pi
A = 2500pi
The area of a sector with central angle 65 degrees is:
(65/360)*2500pi = 1,418 mi^2
The area of the sector is 1,418 mi^2.