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Into how many regions do 500 lines in a plane all passing through the same point divide that plane?

2007-06-26 22:29:39 · 8 answers · asked by Anonymous in Science & Mathematics Mathematics

8 answers

One line = 2 regions
2 lines = 4 regions
3 lines = 6 regions
4 lines = 8 regions

following that pattern...
500 lines = 2*500 or 1000 regions

2007-06-26 22:33:12 · answer #1 · answered by Mathematica 7 · 0 0

If you have 500 lines in a plane that all pass through the same point, it's like 1000 spokes radiating from that point.

You'd end up with 1000 pie-shaped regions.

2007-06-26 22:34:10 · answer #2 · answered by Anonymous · 0 0

I assume they are arranged in some sort of circular way, then it would be 1000 regions.

To understand it simply cut a plane with 2, 3,4 , etc lines and then count the regions, youll find the path

Take Care
Bye

2007-06-26 22:37:59 · answer #3 · answered by Anonymous · 0 0

I assume they are arranged in some sort of circular way, then it would be 1000 regions.

To understand it simply cut a plane with 2, 3,4 , etc lines and then count the regions, youll find the path.

2007-06-26 22:34:51 · answer #4 · answered by Dexter H. 2 · 0 0

2*500
=1000

2007-06-26 22:35:50 · answer #5 · answered by Jain 4 · 0 0

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2016-10-03 05:29:24 · answer #6 · answered by furne 4 · 0 0

2*500 = 1,000

2007-06-26 22:51:37 · answer #7 · answered by Helmut 7 · 0 0

it divides the plane in endless regions.

2007-06-26 22:32:06 · answer #8 · answered by Mr. Engr. 3 · 0 2

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