Quadrilateral Area Calculator
Calculate the area of a quadrilateral using diagonals and angle between them. Area = (d1 × d2 × sin(θ)) / 2.
Formula
Area = (d1 × d2 × sin(θ)) / 2
- Works for any quadrilateral where diagonals are known
- θ is angle between the two diagonals
- For perpendicular diagonals (θ=90°): Area = (d1 × d2) / 2
- Special case of rhombus with perpendicular diagonals
Example
Inputs
- Diagonal 1 (length units): 10
- Diagonal 2 (length units): 8
- Angle Between Diagonals (degrees): 90
Diagonals 10 and 8 at 90°: Area = (10 × 8 × sin(90°)) / 2 = 40 square units.
Frequently asked questions
What is a quadrilateral?
A 4-sided polygon. This calculator works when you know both diagonals and the angle between them.
What if diagonals are perpendicular?
When angle = 90°, sin(90°) = 1, so Area = (d1 × d2) / 2. This is the area formula for kites and rhombuses.