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 :
![\text{ Area of circle =}\Pi Radius^2](https://img.qammunity.org/2023/formulas/mathematics/college/vavedbjvo7k19mv0r7kx5e7fdzw18t7r8a.png)
Substitute the value of the radius = 3.2 inch
![\begin{gathered} \text{ Area of lid =}\Pi Radius^2 \\ \text{Area of lid =}\Pi*3.2^2 \\ \text{Area of lid =}3.14*3.2*3.2 \\ \text{Area of lid=}32.17in^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/2tplp1c4fx8ngnjk5ifq75atp8xtk17e6e.png)
Area of lid is 32. 17 in²