Question Number 151961 by Tawa11 last updated on 24/Aug/21
Commented by Tawa11 last updated on 24/Aug/21
$$\mathrm{The}\:\mathrm{pencils}\:\mathrm{has}\:\mathrm{diameter}\:\:\:\mathrm{7mm}. \\ $$$$ \\ $$$$\mathrm{Question} \\ $$Seven pencils are held together in hexagon shape by an elastic band. If the pencils are of diameter 7mm, what is the length of the band in this shape
Answered by Olaf_Thorendsen last updated on 24/Aug/21
$$\mathrm{L}\:=\:\mathrm{6}×\left(\mathrm{2}{r}+\mathrm{2}{r}\frac{\pi}{\mathrm{6}}\right) \\ $$$$\mathrm{L}\:=\:\mathrm{12}{r}\left(\mathrm{1}+\frac{\pi}{\mathrm{6}}\right) \\ $$$${r}\:=\:\mathrm{3},\mathrm{5}{mm}\::\:\mathrm{L}\:=\:\mathrm{64},\mathrm{0}{mm} \\ $$
Commented by Tawa11 last updated on 24/Aug/21
$$\mathrm{Thanks}\:\mathrm{sir}.\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$
Commented by Tawa11 last updated on 24/Aug/21
$$\mathrm{Please}\:\mathrm{sir}.\:\mathrm{How}\:\mathrm{did}\:\mathrm{you}\:\mathrm{get}\:\:\:\:\:\:\:\mathrm{L}\:\:=\:\:\mathrm{6}\left(\mathrm{2r}\:\:\:+\:\:\:\mathrm{2r}\:\frac{\pi}{\mathrm{6}}\right) \\ $$