Question

An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest circle that could fit in the square, as a shown below Show work please

Answer 1

Answer:

The artist used $8.6\ in$ more of silver wire

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

The Perimeter of the square is equal to

$P=4a$

where

a is the length side of the square

$P=40\ in$

so

$40=4a$

$a=10\ in$

so

Each side of the square has a length of 10 in

step 2

Find the circumference of the circle

The diameter of the circle is equal to the length of the side of  the square

The circumference is equal to

$C=\pi D$

we have

$D=10\ in$

substitute

$C=(3.14)(10)=31.4\ in$

step 3

Find the difference

$40\ in-31.4\ in=8.6\ in$