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

The artist used 8.6 inches more of silver wire

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