The lid is in the shape of circle, with the diameter 6.4 inches
Diameter = 2 Radius
Radius = 1/2 Diameter
Radius = 1/2 x 6.4
Radius = 3.2 inch
The area of circle with radius r is :
[tex]\text{ Area of circle =}\Pi Radius^2[/tex]Substitute the value of the radius = 3.2 inch
[tex]\begin{gathered} \text{ Area of lid =}\Pi Radius^2 \\ \text{Area of lid =}\Pi\times3.2^2 \\ \text{Area of lid =}3.14\times3.2\times3.2 \\ \text{Area of lid=}32.17in^2 \end{gathered}[/tex]Area of lid is 32. 17 in²