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,

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Answer:

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,)

Explanation:

we get that,

Total area of circular cookies cut is,

[tex]8\times\text{ Area of circlar cookies }[/tex]

Area of the dough is,

[tex]4\times8=32\text{ in}^2[/tex]

Area of circular cookies is,

[tex]=\pi(1)\placeholder{⬚}^2[/tex]

Total area of circular cookies cutted is,

[tex]=8\times\pi[/tex]

The dough left over is,

[tex]\text{ Area of the dough}-\text{ Area of 8 circular cookies}[/tex]

Substitute the values we get,

[tex]=(32-8\pi)\text{ in}^2[/tex]

Answer is:

[tex]=(32-8\pi)\text{ in}^2[/tex]