A rectangle is inscribed in a circle centered at the origin with diameter 12.
a. Write the equation of the circle that meets these conditions.
b. Write the dimensions of the rectangle in terms of x.
c. Write a function A(x) that represents the area of the rectangle.
d. Use a graphing calculator to graph the function y= A(x).
e. Find the value of x, to the nearest tenth, that maximizes the area of the rectangle. What is the maximum area of the rectangle?
