Given Data:
The diameter of the full circle is: d = 4.6 in
The expression to calculate the area of a quarter circle is,
[tex]A=\frac{\pi\times d^2}{16}[/tex]Substitute values in the above expression.
[tex]\begin{gathered} A=\frac{\pi\times4.6^2}{16} \\ =\frac{3.14\times21.16}{16} \\ =\frac{66.4424}{16} \\ A\approx4.15in^2 \end{gathered}[/tex]Thus, the area of a quater circle is 4.15 sq inch.
