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. Question 1 options: 3.14 inches 31.4 inches 15.7 inches 78.5 inches

Answer 1

31.4 inches.

Explanation:

The diameter of the circle will be equal to the length of each side of the square which is 40/4 = 10 inches.

Therefore the circumference of the copper circle

= 3.14 * the diameter

= 3.14 * 10

= 31.4 inches.

Answer 2

31.4

Explanation:

Each side of the square has a length of 40 × = 10 inches. 4

The perimeter of the square minus the circumference of the circle is 40 − 31.4 = 8.6

The radius of the circle is 10 = 5 inches, so the circumference of the circle is 2

2 × π × 5 = 10 × 3.14 = 31.4 inches.