Answer:
Remaining fabric=[tex]56.52inch^2[/tex]
Step-by-step explanation:
Area of the remaining fabric= Area of the Big fabric- Area of the small fabric
Area of the big circular fabric having Diameter=9 inch
Radius= 9/2=4.5 inch
Area of the big circular fabric= [tex]\pi *r^2\\[/tex]
As, [tex]\pi =\frac{22}{7} =3.14[/tex]
Area =
[tex]3.14*4.5*4.5\\\\=3.14*20.25\\\\=63.59inch^2[/tex]
Area of small fabric having diameter= 3 inch
Radius=1.5 inch
Area=
[tex]3.14*1.5*1.5\\\\=3.14*2.25\\\\=7.07inch^2[/tex]
Area of the remaining fabric= [tex]63.59-7.07=56.52 inch^2[/tex]
Remaining fabric=[tex]56.52inch^2[/tex]
