User:Mido1236/The Euclidian Clock

To find the angle between hour hands, we first convert the times of each of the clocks to a single real number which represents the time in hours (i.e.: 1:30:02:01 becomes 1 + 30/60 + 2/3600 + 1/360000= 1.5005583333333333333333333333333 hours). The difference between the two numbers over twelve gives us the percentage of the area covered. Take the percentage and multiply it with the area of the circle to get the area of the covered portion.