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A circle with radius =1/sqrt(pi), then rē = 1/pi. Area would then be pi/pi, or 1.
So, can you have a circle with radius = 1/sqrt(pi)? You can have a circle bigger than that, and you can have a circle smaller than that.
I remember a paradox about an arrow fired at a target. Before the shot it is distance D from the target. At some point, it will be D/2 from the target. At another point, it is (D/2)/2 from the target. You can continue to cut the remaining distance in half, but you never get to the target. Of course, unless you're me, you will hit the target, so you get past this never ending sequence of halves. Maybe the circle is the same thing - you can't put a real number on it, but you sure as heck can cut a stick to that length.
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