Maximum Parts
How many parts can a circle be divided into drawing four straight lines? Give the maximum possible answer.
Answer:
The circle can be divided into 11 parts by drawing 4 straight lines. The trick is whenever you draw a line, it should cut all previously drawn lines and no more than 2 lines should pass through any intersection point. Hence whenver you draw N lines, the maximum possible parts are equal to 1 + (1 + 2 + 3 + 4 + 5 + ...... + N) = 1 + (N * (N + 1)) /2.
Post Scriptum:
You can see here how 4 straight lines divide a circle into maximum 11 parts.
Please click the url here: http://www.brainvista.com/images/ans/00309.gif
Answer:
The circle can be divided into 11 parts by drawing 4 straight lines. The trick is whenever you draw a line, it should cut all previously drawn lines and no more than 2 lines should pass through any intersection point. Hence whenver you draw N lines, the maximum possible parts are equal to 1 + (1 + 2 + 3 + 4 + 5 + ...... + N) = 1 + (N * (N + 1)) /2.
Post Scriptum:
You can see here how 4 straight lines divide a circle into maximum 11 parts.
Please click the url here: http://www.brainvista.com/images/ans/00309.gif
posted by padmaram at 11:48 PM
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