Aspire Faculty ID #16582 · Topic: NIMCET 2008 · Just now
NIMCET 2008

What is the diameter of the largest circle that can be drawn on a chessboard so that its entire circumference gets covered by the black squares and no part of the circumference falls on any white space, given that the chessboard has black and white squares of size one inch?

Solution

The largest such circle fits diagonally across black squares only.
The maximum possible diameter comes out to be √10 inches.

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