How do you maximize the perimeter of a rectangle inside a circle with equation: #x^2+y^2=1#?
1 Answer
Explanation:
For symmetry reasons we can assume the rectangle has sides parallel to the axes. In such case if the corner in the first quadrant is the point
so that:
and the perimeter is:
Evaluate the first derivative:
And identify critical points solving the equation:
Evaluate the second derivative:
so that the critical point is a local maximum.
Then the perimeter is maximum when