Yes! It can(: you draw the circle in the rectangle with its top and bottom touching the top and bottom sides of the rectangle
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Yes.
6.5 units
It is 2*r^2.
Draw two diameters of the circle and join the points where they meet the circumference.
No. For example, if one angle measures 100 degrees, and its adjacent angle is 80 degrees, then the opposite angles would be either 200 or 160 degrees, but in order for a quadrilateral to be inscribed in a circle the opposite angles would have to equal 180 degrees. A parallelogram can be inscribed in a circle if it is a rectangle.