[" Q.24.Show that the rectangle of maximum area "],[" that can be inscribed in a circle is a square."]

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

The triangle of maximum area that can be inscribed in a circle is

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

Shows that the triangle of greatest area that can be inscribed in a circle is equilateral.