SOLUTION: I have a square field with a circle inside that represents the watered portion of a field. I need to find a way to explain what portion of the field does not get watered. Please h

Algebra ->  Surface-area -> SOLUTION: I have a square field with a circle inside that represents the watered portion of a field. I need to find a way to explain what portion of the field does not get watered. Please h      Log On


   



Question 1091212: I have a square field with a circle inside that represents the watered portion of a field. I need to find a way to explain what portion of the field does not get watered. Please help me solve this.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Area of circle is smaller than area of the square. The nonwatered area is the part of the square which is not in the circle. The nonwatered area is outside the circle but still in the square.

If r is radius for circle, x is sidelength of the square, and 2r%3C=x, then circle area is pi%2Ar%5E2 and square field area including the circle is x%5E2. The amount of area outside the circle but inside the square which is nonwatered is x%5E2-pi%2Ar%5E2.