A window is in the form of a rectangle surmounted by a semicircle as shown in the figure. If r is the radius of the semicircle and x is the length of the larger side of the rectangleThe perimeter of the window is 5 metres Find the area of the window in terms of r.

A window is in the form of a rectangle surmounted by a semicircle as shown in the figure. The perimeter of the window is 5 metres. If r is the radius of the semicircle and x is the length of the larger side of the rectangle, find a relation between r,x.

A window is in the form of a rectangle surmounted by a semicircle as shown in the figure. The perimeter of the window is 5 metres. Find the dimensions of the window so that the greatest possible light may be admitted.

A window is in the form of a rectangle surmounted by a semi circular opening. The total perimeter of the window is 10 m. Find the dimension of the window to admit maximum light through the whole opening.

The figure shown below is formed by a rectangle with semicircles on each of its four sides. If the sides of the rectangle are 16 cm and 12 cm, what is the area of the figure?

In the figure, the radius of the semicircle with centre O is 5 centimetres. PB=2 centimetres. Calculate the area of the square with PM as one side. .

Let x and y be the length and breadth 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. Write triangle in terms of r and theta .

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 .