Show that the rectangle of maximum perimeter which can be inscribed in a circle of radius `a` is a square of side `sqrt(2)a` .

Show that rectangle of maximum perimeter, which can be inscribed in a circle of a radius 'a' is a square of side sqrt2a .

Show that the rectangle of maximum perimeter which can be inscribed in a circle of radius 10 cm is a square of side 10sqrt(2) cm.

Show that the rectangle of maximm area that can be inscribed in a circle of radius r is a square of side sqrt2 r

Let x and y be the length and bredth of the rectangle ABCD in a circle having radius r. Let angleCAB=theta (Ref. Figure). If triangle represent area of the rectangle and r is a constant. Show that the rectangle of maximum area that can be inscribed in a circle of radius r is a square of side sqrt2r .

Show that the rectangle of maximum area that can be inscribed in a circle is a square.

Find the dimensions of the rectangle of maximum perimeter that can be inscribed in a circle of radius a.

Show that the rectangle of maximum area that can be inscribed in a given circle is a square.

Show that a triangle of maximum area that can be inscribed in a circle of radius a is an equilateral triangle.