## Math Problem Statement

A rectangle is inscribed in a circle of radius 8. Let P=(x,y) be the point in quadrant 1 that is a vertex of the rectangle and is on the circle.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Geometry

Coordinate Geometry

Circles

Rectangles

Symmetry

### Formulas

Equation of a circle: x^2 + y^2 = r^2

Area of a rectangle: A = length × width = 4xy

### Theorems

The diagonals of a rectangle inscribed in a circle are equal to the circle's diameter.

Pythagoras Theorem (implied in the circle equation)

### Suitable Grade Level

Grades 9-11

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