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 Post subject: Geometry : Number of diagonals of a polygon
PostPosted: Thu Oct 15, 2009 7:30 am 
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Joined: Tue Dec 28, 2004 2:34 am
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Location: Chennai, India
How many diagonals does a 63-sided convex polygon have?

1. 3780
2. 1890
3. 3843
4. 3906
5. 1953

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 Post subject: Re: Geometry : Number of diagonals of a polygon
PostPosted: Sat Oct 24, 2009 5:32 am 
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Joined: Tue Dec 28, 2004 2:34 am
Posts: 93
Location: Chennai, India
Any n-sided convex polygon with n >= 4 will have n(n-3)/2 diagonals.

Therefore, 63-sided convex polygon has 63(60)/2 = 1890 diagonals. Choice (B).

Further explanation to the question provided at http://questionbank.4gmat.com/mba_prep_ ... s_06.shtml

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KSB
Tutor, 4GMAT.COM - GMAT Classes @ Chennai, Mumbai and Bangalore
ACE GMAT Quant with 4GMAT's Advanced Math Lesson Books, eBooks.
Next Weekend Batch @ Chennai starts Feb 18, 2012


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