In geometry, a cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. The vertices are said to be concyclic. In a cyclic quadrilateral, opposite angles are supplementary (their sum is π radians or 180°). Equivalently, each exterior angle is equal to the opposite interior angle. The area of a cyclic quadrilateral is given by Brahmagupta's formula as long as the sides are given. This area is maximal among all quadrilaterals having the same side lengths. Ptolemy's theorem expresses the product of the lengths of the two diagonals of a cyclic quadrilateral as equal to the sum of the products of opposite sides. In any convex quadrilateral, the two diagonals together partition the quadrilateral into four triangles; in a cyclic quadrilateral, opposite pairs of these four triangles are similar to each other. Any square, rectangle, or isosceles trapezoid is cyclic. A kite is cyclic if and only if it has two right angles. ----Wikipedia
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If it is a cyclic quadrilateral, meaning that it can be inscribed in a circle, then you can use the formulawhere S is the semiperimeter (half the sum of all the sides) and a, b, c, and d are all side lengths. If it is not a cyclic quadrilateral or you are unsure if it is or not then use the formula:where S is the semiperimeter (half the sum of all the sides) and a, b, c, and d are all side lengths and A and B are the angle measures across from side lengths a and b.hope this helps
If you mean a Quad which touches the circumference at all 4 points, then... # All interior angles add to 360' #Opposite angles add to 180' #The Quad is then referred to as a 'Cyclic Quadrilateral'
Oh, dude, a circle is like the black sheep of the quadrilateral family. It's not really a quadrilateral because it's got that whole round thing going on, you know? So, technically, no, a circle doesn't belong to the quadrilateral family. But hey, who really cares about geometry rules anyway, right?
No. A quadrilateral is any four-sided figure. A trapezoid is one example of a quadrilateral.
Yes, such a quadrilateral can exist.