A circular garden is surrounded by a fence of negligible width along the boundary. If the length of the fence is

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A circular garden is surrounded by a fence of negligible width along the boundary. If the length of the fence is \(\dfrac12\) of the area of the garden. What is the radius of the circular garden?

A. 1
B. 2
C. 4
D. 8
E. 16

Answer: C

Source: GMAT Club Tests