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

Find the dimensions of the rectangle of maximum area that can be inscribed in a semicircle of radius r.

Find the dimensions of the rectangle with maximum area that can be inscribed in a circle of radius 10 cm.

The triangle of maximum area that can be inscribed in a given circle of radius 'r' is

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

Find the dimensions of the largest rectangle that can be inscribed in a semi circle of radius r cm.

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