If four pencils are held together in a square by an elastic band. If the pencils are of diameter 7mm, what is the length if the band in this position

1 answer

The length of the band can be calculated by finding the perimeter of the square formed by the pencils and then adding the circumference of the four pencils.

The perimeter of the square is equal to the sum of all four sides:
Perimeter = 4 * side length

Each pencil will contribute a diameter of 7mm to one side of the square. So, the side length of the square is:
Side length = 4 * 7mm = 28mm

Therefore, the perimeter of the square is:
Perimeter = 4 * 28mm = 112mm

The circumference of each pencil is:
Circumference = π * diameter = π * 7mm = 22mm

There are four pencils, so the total circumference of the four pencils is 4 * 22mm = 88mm

The total length of the band is the perimeter of the square plus the circumference of the pencils:
Total length = 112mm + 88mm = 200mm

Therefore, the length of the band in this position is 200mm.