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`A = f( "a" , "b" , "c" , "d" , "theta" )`

Enter a value for all fields

**Area of Quadrilateral** calculator computes the area of a simple quadrilateral given the four sides and the sum of opposing angles (a.k.a. Heron's quadrilateral).

**INSTRUCTIONS**: Choose units (e.g. inches or meters) and enter the following:* Simple Quadrilateral*

- (
**a**) - length of side a - (
**b**) - length of side b - (
**c**) - length of side c - (
**d**) - length of side d - (
**θ**) - the sum of any two opposite angles (θ = α+β).

**Area of a Quadrilateral (A):** The calculator returns the area (A) in square meters. However, this can be automatically converted to many other area units (e.g. square inches) via the pull-down menu.

- Area of a Quadrilateral from four sides and an angle
- Area of a Quadrilateral from four sides and the diagonal
- Quadrilateral Perimeter
- Quadrilateral Semi-Perimeter
- Quadrilateral Volume

Heron's formula is as follows:

`Area = sqrt(( (a+b+c+d)/2-a)( (a+b+c+d)/2-b)( (a+b+c+d)/2-c)( (a+b+c+d)/2-d)-a*b*c*d * cos^2(θ"/"2) )`

where:

- A is the area of the quadrilateral
- a, b, c, d are the lengths of the sides of the quadrilateral
- θ is one of the angles.

- Area of a Circle - Multiple functions to compute the area of a circle or portions of a circle.
- Area of Triangle - Three Sides
- Area of Quadrilateral - Four Sides
- Area of Pentagon - Five Sides
- Area of Hexagon - Six Sides
- Area of Heptagon - Seven Sides
- Area of Octagon - Eight Sides
- Area of Nonogon - Nine Sides
- Area of Decagon - Ten Sides
- Area of Hendecagon - Eleven Sides
- Area of Dodecagon - Twelve Sides
- Area of Polygon - Any number of sides (n).