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.

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 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. 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 wire of length 4m is bent in the form of a circular coil of single turn. A current 1A is flowing through the wire. If the coil is placed in a mag netic field of 0.4T find the maximum torque experienced by the coil.