Given data:
The given diameter of the circle is D=4.
The expression for the area of the circle is,
[tex]A=\frac{\pi}{4}(D)^2[/tex]Substitute the given value in the above expression.
[tex]\begin{gathered} A=\frac{3.14}{4}(4)^2 \\ =12.56unit^2 \end{gathered}[/tex]Thus, the area of the circle is 12.56 sq-units.