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Ans: 16 pieces

One chord divides the circle into 2 parts. Two chords divide the circle into 4 parts, in the third three chords divide the circle into 3 parts and the forth diagram 4 chords divide the circle into 11 parts.

Here you see that the first cut creates 1 new region (1+1)

The second cut creates 2 new regions (2+2)

The third cut creates 3 new regions (4+3) and the 4th cut creates 4 new regions (7+4)

So, 5th cut is (11+5)

This is mathematically represented as

F (n) = n + f (n-1)

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Q: How many different sections can a circle be divided into by 5 straight lines?
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