Wedding Project Part One

Recently I have started a project for my daughter Kelsey’s wedding.  I was given creative license to create a table topper for the 48" table that will hold “The Cake” and other goodies.  My first stumbling block was the size…?  She wanted it to be square and have the corners just come to the edge of the table.   So a square in a circle.  Unfortunately I don’t own a 48” table to use as a model.  So I had the sudden realization that my project was two right triangles smashed together and that I know the hypotenuse is 48”.  High school math flashback moment.  That stuff I thought I would never need to use!  So the Pythagorean Theorem was called to use.  You know A squared + B squared = C squared.  So my 48" is my C.   I knew my A and B leg needed to be equal, so out came the geometry and algebra thoughts.  My C is 2304 (48" x 48”), so I needed to find my A and B next.  I divided my 2304 by 2 and got 1152.  Now I just need a number multiplied by itself would be 1152.  The closest whole number was 34, 34 x 34 = 1156.  Close enough for me.  Now I have an approximate size!  Yes, I am kinda math geek.