Step 1 :The problem is asking for the area of a circle with a radius of 2.
Step 2 :The formula for the area of a circle is \(\pi r^2\), where \(r\) is the radius of the circle.
Step 3 :Substitute 2 in place of \(r\) in the formula.
Step 4 :Calculate the area: \(\pi (2)^2 = 12.566370614359172\).
Step 5 :\(\boxed{12.566370614359172}\) is the final answer.