Question

Suzanne is making a circular table out of a square piece of wood. The radius of the circle that she is cutting is 3 feet. How

much waste will she have for this project? Express your answer to the nearest square foot.
Draw a diagram to assist you in solving the problem. What does the distance of 3 feet represent in this problem?

Answer 1

The waste Suzanne is going to have is around 7.726.

8 if looking for nearest square foot.

Explanation:

Area for a square - x*x (length times length)

Area for a circle - r^2*pi

Find the area of the circle first, which plug in r as 3.

3^2*pi

9pi

≈28.27433

Notice for a circle inside a square, the length of the square is the diameter of the circle.

By knowing 2r=diameter, we know the length of the square is 6

substitute x as 6.

6*6=36

Find the waste= Area of square - Area of circle

36-28.27433

≈7.726

The image I attached should give you a clue on how the problem is being done and help you to understand what the 3 feet means.