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k0ka [10]
3 years ago
14

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:
rjkz [21]3 years ago
3 0

Answer:

The artist used 8.6 inches more of silver wire

Step-by-step explanation:

Perimeter of the square

P = 4*a

P = 4*a = 40 in

a = 10 in

Each side of the square has a length of 10 in

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

Diameter = 10 in

Perimeter of the circle

P_c = 2*π*radius  = π*diameter

P_c = (3.14)*10 in = 31.4 in

Inches of silver wire (square)   =  40 in

Inches of copper wire (circle)   =  31.4 in

40- 31.4  in  = 8.6 in

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Answer

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The greatest common factor is the largest number that will divide both numbers evenly. As an example, 6 is a common factor because it divides both 60 and 36. However, it is not the greatest common factor.

 

If I break 60 into it's prime factors, I would get 2 * 2 * 3 * 5.

 

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