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

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 right triangle of maximum area that can be inscribed in a circle is an isosceles triangle

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

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

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