Answer :
The formula for the area of a circle with radius R is;
[tex]A=\pi(R^2)[/tex]With R = 4.6 units
[tex]\begin{gathered} A=\pi\times4.6^2 \\ A=66.48\text{ square units.} \end{gathered}[/tex]Therefore the area of the circle is 66.48 square units.