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Monica [59]
3 years ago
13

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 cir

cle that could fit in the square, as a shown below Show work please

Mathematics
1 answer:
Serhud [2]3 years ago
4 0

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

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