Puzzle | Splitting a Cake with a Missing Piece in two equal portion

Puzzle | Maximum pieces that can be cut from a Circle using 6 straight lines

Last Updated : 03 Jul, 2024

PUZZLE:

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?

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)

Puzzle | Splitting a Cake with a Missing Piece in two equal portion

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