Answer : area of a circle is 7,462.41
[tex]\begin{gathered} \text{Area of a circle = }\pi\cdot r^2 \\ \text{The given diameter is 97.5} \\ \text{Diameter = 2 x radius} \\ \text{Make radius the subject of the formula} \\ \text{Radius = }\frac{diameter}{2} \\ \text{Radius = }\frac{97.5}{2} \\ \text{Radius = 48.75} \\ \text{Let }\pi\text{ = 3.14} \\ \text{Area of a circle = 3.14 x 48.75 x 48.75} \\ \text{Area of a circle = 3.14 x 2,376.56} \\ \text{Area of a circle = 7,462. 41} \end{gathered}[/tex]