Consider that the area (A) of a circle having radius R units, is given by the formula,
[tex]A=\pi R^2[/tex]According to the given problem, the radius of the circle is 4 units,
[tex]R=4[/tex]Then the corresponding area of the circle is calculated as,
[tex]\begin{gathered} A=\pi(4)^2 \\ A=\pi(16) \\ A=16\pi \end{gathered}[/tex]Substitute the value of the constant π in the expression,
[tex]\begin{gathered} A=16\cdot(3.14) \\ A=50.24 \end{gathered}[/tex]Thus, the area of the circle is 50.24 sq. units approximately.