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

49.99114858

The distance between pencil centers on each side is 1 diameter, or 7mm.

At each corner there is a quarter-circle, so the entire length is

4*7 + π*7 = 7(4+π) mm

The number of pencils touching the band is 6 using 60° for ©

2r+[©/360×2#r]
That is perimeter if a sector.

Thank you it was correct.

ok but what if it was 10mm?

thanks alot

What if the same elastic band holds 7 of the same pencil

if it was 10mm it would be 10(4+π)

Radius of pencil=7/2. Length of band=4*2d=8*7=56mm

Wow Its So Cul..Thanks