Question

a circle with a radius 3 centimeters is cut from square piece of felt. the side of the felt square are 8 centimeters long. How much felt is left over? use 3.14 for (pie symbol). show your work.

Answer 1

There are
`35.74\ cm^2` of felt left over.

Explanation:

The side of the felt square is 8 cm. A circle of radius 3 cm is cut from the square piece of felt.

The portion of felt leftover is the difference between the area of the square and the area of the circle.

The area of the square is:

`A_s=(8\ cm)^2=64\ cm^2`

The area of the circle is:

`A_c=\pi(3\ cm)^2=3.14*9\ cm^2`

`A_c=28.26\ cm^2`

The remaining area of the piece of felt is:

`A=64\ cm^2-28.26\ cm^2`

`A=35.74\ cm^2`

There are
`35.74\ cm^2` of felt left over.