Cutting Circles
Geometry
Level
3
What is the maximum amount of areas you can separate from a circle after you cut it
250
times with straight lines each going fully through the circle?
The answer is 31376.
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1 solution
Using the formula 1 / 2 ( x 2 + x + 2 ) , where x equals the number of lines cut, we punch in number 250 for x, and get 1 / 2 ( 2 5 0 2 + 2 5 0 + 2 ) = 3 1 3 7 6