The dimensions to maximize the area must be:
The rectangle with the largest area that can be inscribed on a circle of radius 3, will be a rectangle whose diagonal is equal to the diameter of the circle, so we have:
√(x + y) = 6 units.
Where x and y are the dimensions of the rectangle. We also must have that:
Now, because we have limits, the largest area (which is the product of x and y) happens when x and y have the same value x = y, then we have:
√(x + x) = 6 units.
√(2x) = 6 units.
x = (√3)/2 = y
So the rectangle is actually a square of side length = (√3)/2
If you want to learn more about rectangles, you can read:
https://brainly.com/question/17297081
