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 shown below.

square with perimeter of 40 inches
What is the circumference of the copper circle? Use 3.14 to represent π.

Answer 1

31.4 in.

Explanation:

The perimeter of a square is

P = 4s,

where s is the length of a side.

P = 4s

40 in. = 4s

s = 10 in.

Each side of the square measures 10 in.

The largest circle that fits inside a 10-square has a diameter of 10 inches.

For a circle, the circumference is

C = πd,

where d = diameter

C = πd

C = 3.14 * 10 in.

C = 31.4 in.