FORMS - Rectangle

A rectangle is a quadrilateral with opposite sides that are parallel and equal in length. Each of its interior angles measures 90 degrees, and the sum of all interior angles is 360 degrees. The diagonals of a rectangle bisect each other and are equal in length. For a rectangle with side lengths aaa and bbb, the perimeter is given by 2a+2b2a + 2b2a+2b units, and the area is ababab square units. The diagonals serve as the diameters of the rectangle’s circumcircle, and their length is determined using the formula a2+b2\sqrt{a^2 + b^2}a2+b2​. The diagonals intersect at different angles—one acute and the other obtuse. If the diagonals bisect each other at right angles, the rectangle becomes a square. When a rectangle is rotated along the line joining the midpoints of its longer parallel sides, a cylinder is formed. In this case, the height of the cylinder equals the width of the rectangle, and the cylinder's diameter corresponds to the length of the rectangle. Similarly, if the rectangle is rotated along the line joining the midpoints of its shorter parallel sides, the height of the cylinder equals the length of the rectangle, and the diameter is equal to the width of the rectangle.