A round hole has a diameter of 2 inches. You have a square peg with sides of 1-1/2 inches. Will the square peg fit into the round hole? Explain please

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05-06-2014
Mathematics

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A round hole has a diameter of 2 inches. You have a square peg with sides of 1-1/2 inches. Will the square peg fit into the round hole? Explain please

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AL2006 AL2006 · Answer 1 · 2014-06-06T01:58:34-04:00

AL2006 AL2006

06-06-2014

In order for a square to fit in a circle, the diagonal of the square
can't be greater than the diameter of the circle.

The diagonal of any square is (length of side) times √2 .
The diagonal of THIS square is (1.5) x (√2) = 2.12 inches.
The diameter of the hole is 2 inches.
The peg will not fit into it.

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