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If the circumference is 6, and the formula for circumference is 2πr,
r= 6/(2π) and the area is πr2 = 9
Your logic seems right, but you must have made an error somewhere, because the correct answer using your logic or mine is still 3.
area = pir2
circumference = 2pir
r = circumference/2pi
area = pi(circumference/2pi)2
area = circumference2/4pi
area = 62/4pi = 3
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