What is the maximum number of pieces that a circular pie can be divided into using four linear cuts?
(C) 2008 GMAT Club - m19#22
Whats the approach to solve such type of questions. I have seen similar question in GMAT prep where circle is intersection with triangle.
Such kind of combinations problems are always about a pattern recognition.
0 line gives 1 whole piece;1
line will gives 2 pieces: 1+1
lines will give 4 pieces: 2+2
lines will give 7 pieces: 4+3
lines will give 7+4
lines will give 11+5
lines will give 16+6
lines will give 22+7
So, generally kth line will add k new pieces.
For more solutions check here: what-is-the-maximum-number-of-pieces-that-a-circular-pie-can-64679.html
Hope it helps.
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