#### Question

Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area.

#### Solution

Let a rectangle of length *l* and breadth *b* be inscribed in the given circle of radius *a*.

Then, the diagonal passes through the centre and is of length 2*a* cm.

Is there an error in this question or solution?

Solution Show that of All the Rectangles Inscribed in a Given Fixed Circle, the Square Has the Maximum Area. Concept: Maxima and Minima.