SOLUTION: Find the perimeter of the biggest square inscribed in a circle of radius R.

Algebra ->  Points-lines-and-rays -> SOLUTION: Find the perimeter of the biggest square inscribed in a circle of radius R.      Log On


   



Question 31148: Find the perimeter of the biggest square inscribed in a circle of radius R.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
the square has sides x and the diagonal of the square is 2r
therefore the triangle formed by the diagonal and the two sides x is
x~2+x~2=(2r)~2 or 2x~2=(2r)~2 or 2x~2=4r~2 or x~2=2r~2 or x=sqrt of 2r~2
or x=r sqrt of 2