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2 votes
2.

Suppose you are making a giant chocolate chip cookie for a raffle. You roll out
a square slab of cookie dough. Then you use a circular plate that touches the
edges of the square slab of cookie dough and cut the cookie out of the dough.
What is the area of the extra dough? Write your answer in factored form.

User Greg Valvo
by
3.0k points

1 Answer

1 vote

Please read "Step-by-step" if you're having trouble

Answer:

x²(1-
(1)/(4)
\pi)

Explanation:

Each side of the cookie dough is x long, since there is no given number, the diameter of the plate is also x, its as long as the square is wide, making the radius 1/2x.

The area of the cookie dough is x², the area of the plate is 1/4
\pix².

You have the equation x²-
(1)/(4)
\pix²the equation has a Greatest Common Factor of x² so your factored equation is x²(1-
(1)/(4)
\pi)

User Doggett
by
3.4k points