Given a Circle and Six Straight Lines. What is the maximum number of pieces that one can cut the circle using these six straight lines?
Check if you were right - full answer with solution below.
Solution:
Using six lines, we can cut the circle into 22 pieces at maximum.
Using one line, the circle can be divided into two parts.
- Two lines divide the circle into four parts.
- Three lines divide the circle into seven unequal parts.
- Four lines cut the circle into eleven parts.
- Using five lines, circle can be divided into sixteen parts.
- Finally, using six lines the maximum parts that can be formed are 22.
We can find out the number of pieces using a mathematical formula also:
Number of pieces = 1 + (n*(n+1)/2)
