Question

The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square feet, of the remaining board? ( where )

Answer 1

Answer:

The approximate area of the remaining board is $13.76\ ft^{2}$

Step-by-step explanation:

we know that

The area of the remaining board is equal to the area of the square minus the area of the circle

so

$A=b^{2} -\pi r^{2}$

where

$b=8\ ft$ ---> side length of the square

$r=8/2=4\ ft$ --> radius of the largest possible circle

$\pi=3.14$

substitute the values

$A=8^{2} -(3.14)(4)^{2}=13.76\ ft^{2}$