Question

A rubber band is use to tie 9 oranges of diameter 8mm.if the band just touches 8 oranges .find the lenght of the band??

Answer 1

clearly the band forms an octagon (with rounded corners) with a diameter of 3 oranges, or 24mm.

Now play around a bit with the dimensions of an octagon.

Answer 2

What formula do i use steve the question look difficult for me that is why i asked help me plz

Answer 3

well, let's assume the octagon is just a regular polygon. It consists of eight isosceles triangles, each with
two sides of 12, and a vertex angle of θ=45°.

So, if the base of each triangle (one side of the octagon) is s,

(s/2) = 12 sin(θ/2)

Now just plug in your numbers and the perimeter is 8s.

If you want to really make things hard, you have to figure the portions of the oranges that form circular arcs at the corners, and the length of the tangent lines forming the straight part of the sides. No thanks.

Answer 4

Thanks steve