Question

3. Erica has 8 squares of felt, each with area 16. For a certain craft project she cuts the largest circle possible from each square of felt. What is the combined area of the excess felt left over cutting out all the circles? A. 4(4 - pi) 3.8(4 - pi) C.8( pi-2) D.32(4- pi)

Answer 1

Okay, here we have this:

We know that each square has an area of 16, this mean that each side measures 4 units.

Now, this mean that each circle will have a diameter of 4, according with this the radius is 2 units.

Now, let's find the area of each circle:

Area=pi*radius²=pi*2²=4pi

Finally we obtain the following formula:

Combined area of the excess=8(Square area)-8(circle area)

And replacing we obtain:

Combined area of the excess=8(16)-8(4pi)

Combined area of the excess=128-32pi

Combined area of the excess=32(4-pi)

Finally we obtain that the correct answer is the option D.