Re: Find Dimensions of a Log

If the log is perfectly cylindrical, then the largest square will have a diagonal that's the same length as the diameter of your circular cross section.

Since it's a square, the side lengths will be the same (x). Then we have by Pythagoras

So the dimensions of the largest square will be .

Re: Find Dimensions of a Log

This exactly what I did in the beginning and used the diagonal of 40cm to make a right-angled triangle...but this gives x= 28.3cm not 33.9cm

Re: Find Dimensions of a Log

Then the answer you have been given is wrong.

Re: Find Dimensions of a Log

Hello, BobBali!

Quote:

This exactly what I did in the beginning

and used the diagonal of 40cm to make a right-angled triangle.

But this gives x= 28.3cm, not 33.9cm

Is there a typo?

Their answer works if the diameter is 48 cm.