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If-you-walk-around-a-triangle-with-sides-3-6-8-respectively-such-a-way-that-you-keep-a-distance-of-3m-from-it-then-how-much-distance-will-you-travel-




Question Number 182533 by Acem last updated on 10/Dec/22
If you walk around a triangle with sides 3, 6, 8  respectively such a way that you keep a distance   of 3m from it, then    how much distance will you travel?
$${If}\:{you}\:{walk}\:{around}\:{a}\:{triangle}\:{with}\:{sides}\:\mathrm{3},\:\mathrm{6},\:\mathrm{8} \\ $$$${respectively}\:{such}\:{a}\:{way}\:{that}\:{you}\:{keep}\:{a}\:{distance} \\ $$$$\:{of}\:\mathrm{3}{m}\:{from}\:{it},\:{then}\: \\ $$$$\:{how}\:{much}\:{distance}\:{will}\:{you}\:{travel}? \\ $$
Answered by mr W last updated on 11/Dec/22
always =a+b+c+2πd                  =3+6+8+2π×3=17+6π
$${always}\:={a}+{b}+{c}+\mathrm{2}\pi{d} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{3}+\mathrm{6}+\mathrm{8}+\mathrm{2}\pi×\mathrm{3}=\mathrm{17}+\mathrm{6}\pi \\ $$
Commented by Acem last updated on 11/Dec/22
This is what i wanted to point out through a few   questions that the travelled distance is:   Σ Lenghts of the polygon sides + 2π. ℓ   Thanks!
$${This}\:{is}\:{what}\:{i}\:{wanted}\:{to}\:{point}\:{out}\:{through}\:{a}\:{few} \\ $$$$\:{questions}\:{that}\:{the}\:{travelled}\:{distance}\:{is}: \\ $$$$\:\Sigma\:{Lenghts}\:{of}\:{the}\:{polygon}\:{sides}\:+\:\mathrm{2}\pi.\:\ell \\ $$$$\:{Thanks}! \\ $$

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