The area of a circle can be calculated as follows:
[tex]A=\pi r^2[/tex]Using the area given in the problem and solving for the radius r:
[tex]\begin{gathered} A=8.4 \\ 8.4=\pi r^2 \\ \frac{8.4}{\pi}=r^2 \\ \sqrt{\frac{8.4}{\pi}}=r \\ 1.635=r \end{gathered}[/tex]Finally, the diameter is twice the radius:
[tex]\begin{gathered} d=2r \\ d=2*1.635 \\ d=3.27\text{ in} \end{gathered}[/tex]Then the answer is the first option 3.27 in