Question 1201003
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The circle has radius 3.<br>
The diagonal of any rectangle inscribed in the circle is a diameter of the circle, which is 6.<br>
Given that a rectangle has a diagonal of length 6, the maximum area of the rectangle is if the rectangle is a square.<br>
If the diagonal of a square is 6, the side length of the square is {{{3*sqrt(2)}}}.<br>
ANSWER: The rectangle with maximum area inscribed in a circle of radius 3 is a square with side length {{{3*sqrt(2)}}}.<br>