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

Show that of all rectangles with given perimeter square has maximum area

Show that, of all the rectangles with a given area, the square has the smallest perimeter.

Show that of all rectangles with given area square has minimum perimeter.

If a rectangle be circumscribed about a circle prove that it is a square.

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

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

Statement I :Among all the rectangles of the given perimeter, the square has the largest area. Also among all the rectangles of given area, the square has the least perimeter. Statement II :For xgt0,ygt0,ifx+y = constant, then xy will be maximum for y=x and if xy=constant, then x+y will be minimum for y=x.

True or False statements: Of all rectangles of a given area, square has the largest perimeter.