A circular plaque in a square box

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Question from kmart, a student:

A square box has a diagonal of length 640cm.It is to contain a circular wall plaque. What is the
approximate diameter of the largest wall plaque that can be placed in the box?

Hi,

I let the length of a side of the box be s cm.

box and plaque

This looks like a job for Pythagoras theorem.

Penny

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