SOLUTION: Show that of all the rectangles inscribed in a circle of fixed radius, the square has the largest area.

SOLUTION: Show that of all the rectangles inscribed in a circle of fixed radius, the square has the largest area.

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Question 803796: Show that of all the rectangles inscribed in a circle of fixed radius, the square has the largest area.

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
NOTE: A rectangle INSCRIBED in a circle is ALWAYS a SQUARE IF you have to get MAXIMUM area.

let ,,,and be the vertices of the square
the diagonals and diagonal will intersect at right angles so
the side of a square is

MAXIMUM area is:
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