The running track consists of two parallel lines and two semi-circles. The length of the track is to be 2 kms. The length of the parallel side so that the area of the enclosed rectangle is maximum is

A circle is inscribed in a trapezium in which one of the non-parallel sides is perpendicular to the two parallel sides. Then A) the diameter of the inscribed circle is the geometric mean of the lengths of the parallel sides B) the diameter of the inscribed circle is the harmonic mean of the lengths of the parallel sides C) the area of the trapezium is the area of the rectangle having lengths of its sides as the lengths of the parallel sides of the trapezium D) the area of the trapezium is half the area of the rectangle having lengths of its sides as the lengths of the parallel sides of the trapezium

A rectangle has two semi-circle described on its longer side as diameter,and the opposite side as tangent.Find the area enclosed between the semi-circles.

A running track has 2 semicircular ends of radius 63 m and two straight lengths. The perimeter of the track is 1000 m. Find each straight length.

Bajinder runs ten times around a square track and covers 4km. Find the length of the track.

A running track of 440 ft is to be laid out enclosing a football field the shape of which is a rectangle with a semi circle at each end .If the area of the rectangular portion is to be maximum then find the lengths of its sides.

The inside perimeter of a running track with semi circular ends and straight parallel sides is 888 metres. The length of the each of the straight portion of sides is 180 metre. If the track has an uniform width 2.10 metres throughout, find its area, also find its external perimeter.

The area of a trapezium -shaped field is 720 m^(2) , the distance between the two parallel sides is 20 m and the length of one of the parallel sides is 35 m. The length of the other parallel side is

The area of a trapezium-shaped field is 720m^(2) , the distance between the two parallel sides is 20 m and the length of one of the parallel sides is 35 m. The length of the other parallel side is