Answer :

Let the radius of the circle be *r*

Circumference of circle = 2π*r*

Area of circle = π*r*^{2}

Given that, the circumference of the circle and the area of the circle are equal.

This implies 2π*r* = π*r*^{2}

2 = *r*

Therefore, the radius of the circle is 2 units

Hence, the correct answer is A

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