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The formula for the circumference of a circle is C = 2Ï€r.
Given C = 4Ï€, we can solve for the radius by dividing both sides of the equation by 2Ï€:
r = C / 2Ï€
r = 4Ï€ / 2Ï€
r = 2
Now that we have the radius, we can find the area of the circle using the formula A = πr^2:
A = π(2)^2
A = π(4)
A = 4Ï€
Therefore, the area of the circle is 4Ï€.