360 degrees to a circle. 60 minutes to a degree. So, 21,600 minutes of angle to a complete circle.
For 100 yards: Circumference = Pi x Diameter. So, 200 yard diameter x 3 ft/yd x 12"/ft x 3.1416 = 22,619,52.
Divide that by 21,600 and you get 1.0472 inches of width at 100 yards. So we just call it an inch per 100 yards.
Since it's an angle, it's 2" at 200 and on and on.