The areas of those objects are given by Brahmagupta's Formula, and for cyclic versions, the product of the lengths of the diagonals can be written in terms of side lengths in Ptolemy's Theorem.
The radius of a circle circumscribed around one type of these objects is given by Parameshvara's Formula. The areas of those objects are given by Brahmagupta's Formula, and for cyclic versions, the product of the lengths of the diagonals can be written in terms of side lengths in Ptolemy's Theorem. Two different types of these objects can be used to approximate integrals. When pairs of adjacent sides in them have equal lengths, they have perpendicular diagonals and are called kites. They have two diagonals, and the sum of their angles is 360 degrees. For 10 points, name these polygons that include trapezoids, parallelograms, and rectangles, all of which have four sides.
The radius of a circle circumscribed around one type of these objects is given by Parameshvara's Formula.
quadrilaterals [Accept cyclic quadrilaterals before “Brahmagupta’s.]