Question

Eight circular cookies of radius 1 inch are cut from a rectangle of dough measuring 4 inches by 8 inches. How many square inches of dough are left over? Express your answer in terms of pi,

Answer 1

Given that,

Eight circular cookies are cut from a rectangle of dough measuring 4 inches by 8 inches.

To find the square inches of dough are left over.

(Express your answer in terms of pi,)

Step-by-step explanation:

we get that,

Total area of circular cookies cut is,

`8*\text{ Area of circlar cookies }`

Area of the dough is,

`4*8=32\text{ in}^2`

Area of circular cookies is,

`=\pi(1)\placeholder{⬚}^2`

Total area of circular cookies cutted is,

`=8*\pi`

The dough left over is,

`\text{ Area of the dough}-\text{ Area of 8 circular cookies}`

Substitute the values we get,

`=(32-8\pi)\text{ in}^2`

Answer is:

`=(32-8\pi)\text{ in}^2`