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

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

x/3-10=8

x/3=18

x=48

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi