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Question 965432: A rectangle inscribed in the circle x^2 + y^2 = 25 on the coordinate grid has an area of 48 square units. What are the coordinates of the vertices of the rectangle?
Picture of circle posted below
http://postimg.org/image/k1znbxle3/
Thank you so much!! ☺
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! This is only a start, not a finished solution:
Imagine a point in quadrant one, (p,s) on the circle.
The three other points for the rectangle are (-p,s), (p,-s), and (-p,-s). Area of this rectangle would be  .
Your circle containing those four corners of the rectangle is radius 5,
 .
Those seem to be two equations in two variables. No real need to pick the new variables p and s, so just go back to x and y, since they still are variables.
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.....you should continue...............
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