SOLUTION: 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 c

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.

.....you should continue...............
RELATED QUESTIONS
A rectangle is inscribed inside the semi-circle y=square root of 100-x^2. what are the... (answered by Fombitz)

The rectangle ABCD is inscribed in the circle with center(0,0) and radius 6. The... (answered by venugopalramana)

A square has a perimeter of 36 units. One vertex of the square is located at (3, 5) on... (answered by Alan3354)

A circle of radius 1 unit has an equilateral triangle PQR inscribed in it. The points S... (answered by solver91311)

Alex has a grid in the shape of a rectangle. He has right triangles. Each right triangle... (answered by josgarithmetic)

a park planner has sketched a rectanular park in the first quadrent of a coordinate grid. (answered by solver91311)

A circle is inscribed in an equilateral triangle that has side lengths of 2√3. Find the (answered by Boreal)

what would be the coordinate for y=-4x+2 on a coordinate... (answered by checkley71)

1. how many square units are in the area of the circle described by x^2+y^2=25? expres... (answered by Nate)