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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 should fit in the square

Respuesta :

The artist uses 8.6 inches more of silver than copper to make the figure.

Step-by-step explanation:

Here, the given question is incomplete.

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 shown below.  How many more inches of silver wire did the artist use  compared to copper wire?

Here, given: The perimeter of the square  = 40 inches

Let us assume the length of  each side of the square  = k inches

Perimeter of a square  = 4 x Sides

⇒ 4 x k = 40 in

or,k = 10 inches

So. the length of each side of the square is 10 inches.

Now, as we can see in the figure:

Side of the square = Diameter of the circle

⇒The diameter of the given circle = 10 inches

or, Radius  = 5 inches

Now, the circumference of the circle made with silver  = 2πR

= 2 x (3.14) (5)  = 31.4 inches

The perimeter of the square -  The circumference of the circle =  40 − 31.4

= 8.6  inches.

Hence, the artist uses 8.6 inches more of silver than copper to make the figure.

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