. Fid the length of the band.

Question

four pencils are held together with a band. the figure  shows the end of the pencils. Each pencil has a diameter of 10mm 

Must give answer in PI form

Answer 1

We do not have the diagram or description.

 

Are the pencils side by side or are they 2 x 2?

 

If they are side by side, then the band like a rectangle

but two of the sides are rounded.

 

In that case, The length is 10x 4 = 40.

The width is a half circle with diameter 10, which has

a circumference (perimeter) of 1/2*PI*10 = 5 * pi.

 

The total length of the band is 2*40 + 2*5*pi = 80 + 10*pi

 

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If on the other hand they are 2 by 2, then the band is kind of

a shape of a square with the corners rounded.

 

In that case the side of the triangle is 20mm.

THe rounded edges are 1/4 circle, which has perimeter,

1/4*PI*10 = 5/2*pi.

 

The length of the band is 4*5/2*pi + 4*20 = 80 + 10*pi

 

80 + 10pi = 10(8 + pi)

 

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