Question

Nicole has a circular piece of fabric that has a 9 inch diameter. She cuts a circle from the fabric that has a 3 inch diameter. What is the area of the remaining fabric? Round to the nearest tenth.

Answer 1

Remaining fabric=
`56.52inch^2`

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=
`\pi *r^2\\`

As,
`\pi =(22)/(7) =3.14`

Area =

`3.14*4.5*4.5\\\\=3.14*20.25\\\\=63.59inch^2`

Area of small fabric having diameter= 3 inch

Radius=1.5 inch

Area=

`3.14*1.5*1.5\\\\=3.14*2.25\\\\=7.07inch^2`

Area of the remaining fabric=
`63.59-7.07=56.52 inch^2`

Remaining fabric=
`56.52inch^2`