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Two straight lines can divide a circular disk into a maximum of four parts. Likewise, into how many maximum parts can four straight lines divide a circular disk?

Two straight lines can divide a circular disk into a maximum of four parts. Likewise, into how many maximum parts can four straight lines divide a circular disk? Correct Answer 11

Given:

Two straight lines can divide a circular disk into a maximum of four parts.

Formula Used:

For number of cut greater than 2, the number of maximum part can be be cut = 1/2(n2 + n + 2); where n = number of cuts

Calculation:

⇒ so maximum parts can four straight lines divide a circular disk = 1/2(42 + 4 + 2)

⇒ maximum parts can four straight lines divide a circular disk = 11

∴ Required value = 11          

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