Answer:
[tex]100.53\ inch^2[/tex]
Step-by-step explanation:
Area of circle: [tex]Area\ of\ circle\ having\ radius\ r=\pi r^2[/tex]
Area of circle having 2 inch diameter:
[tex]Here\ r=2\ in\\\\Area(A_1)=\pi\times 2^2=4\pi[/tex]
Area of circle having 6 inch diameter:
[tex]Here\ r=6\ in\\\\Area(A_1)=\pi\times 6^2=36\pi[/tex]
[tex]Difference\ between\ area:\\\\A_2-A_1=36\pi-4\pi\\\\A_2-A_1=32\pi\\\\A_2-A_1=100.53\ inch^2[/tex]