Question

Question 24 points)Bill cuts a circle out of a square piece of wood to use for a project.Approximately how much wood will be left after the circle is cut from the square?32 inO aOb1,024 square inches220.16 square inches100.48 square inches2,191.36 square inchesсOd

Answer 1

The square piece of wood measures 32 in per side,

Then the circle that can be cut off it has a radius of 16 in (half of the diameter 32 in)

Therefore, the area of the circle is going to be given by the formula:

`\begin{gathered} \text{Area}=\pi R^2 \\ \text{Area}=\pi(16)^2\text{ }\approx803.\, 84in^2 \end{gathered}`

And the area of the initial square was:

Area = 32^2 in^2 = 1024 in^2

Therefore the left-overs of the piece of wood would be the difference:

1024 in^2 - 803.84 in^2