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Quadrilaterals & polygons formulas
13 formulas for Quadrilaterals & polygons, from the Geometry section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Angle sum of quadrilateral | 360° | |
| Interior angle sum (n-gon) | (n − 2) × 180° | |
| Each interior angle (regular) | (n − 2) × 180° / n | |
| Each exterior angle (regular) | 360° / n | |
| Exterior angle sum | 360° | |
| Number of diagonals | n(n − 3) / 2 | |
| Regular polygon area | (n a²) / (4 tan(π/n)) | side a |
| Parallelogram | opposite sides & angles equal; diagonals bisect each other | |
| Rhombus | diagonals bisect at 90°; 4a² = d₁² + d₂² 🧮 Solve step by step | |
| Rectangle diagonals | equal: d = √(l² + b²) | |
| Cyclic quadrilateral | opposite angles sum to 180° | |
| Ptolemy (cyclic) | AC · BD = AB · CD + AD · BC | |
| Brahmagupta (cyclic area) | √((s−a)(s−b)(s−c)(s−d)) |
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