SOLUTION: a circle is inscribed in a square. write and simplify an expression for the ratio of the area of the square of the area of the circle. for a circle inscribed in a square, the diame

Algebra ->  Rational-functions -> SOLUTION: a circle is inscribed in a square. write and simplify an expression for the ratio of the area of the square of the area of the circle. for a circle inscribed in a square, the diame      Log On


   



Question 1028258: a circle is inscribed in a square. write and simplify an expression for the ratio of the area of the square of the area of the circle. for a circle inscribed in a square, the diameter of the circle is equal to the side length of the square?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the radius of the circle, r.
Its diameter is 2r.
The side of the square is then also 2r.
The area of the circle is A+=+%28pi%29r%5E2.
The area of the square is A+=+%282r%29%5E2+=+4r%5E2.
The ratio is 4r%5E2+%2F+%28%28pi%29%2Ar%5E2%29+=+4%2F%28pi%29.