Math CentralQuandaries & Queries


Question from Carolyn, a student:

A circle is inscribed in a square. What percentage of the are of the square is inside the circle.

Hi Carolyn,

The centre of the circle must be the centre of the square, so its radius must be the shortest distance from the centre to any side. That's half the length of a side. Now you can figure out the area of the circle and the area of the square, and find out what fraction of the area of the square is covered by the circle.


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