Area of a convex quadrilateral

Formulas for the area of a convex quadrilateral

Designations: a, b, c and d – sides of the quadrilateral;

r - radius of the inscribed circle, R- radius of the circumscribed circle;

ha – height dropped to the side a;

p – semiperimeter, Semiperimeter of a quadrilateral
d1, d2 - diagonals of a quadrilateral.

Area of an arbitrary convex quadrilateral

Area of a convex quadrilateral where φ - the angle between diagonals.

Area of an inscribed quadrilateral

Area of an inscribed quadrilateral where p - the semiperimeter.

Area of the circumscribed quadrilateral

S = p * r


If a circle can be inscribed in a quadrilateral (a quadrilateral can be inscribed in a circle if the sum of its opposite angles is equal to 180°), and a circle can be circumscribed around it, then its area is equal to:

Formula for the area of a circumscribed quadrilateral

Calculators for solving examples and problems in mathematics

The best math apps for schoolchildren and their parents, students and teachers. More detailed ...


The area of a parallelogram with side a and height ha dropped to this side

Formula for the area of a parallelogram

Area of a parallelogram with sides a, b and angle γ between them

Area of a parallelogram on two sides and a corner
Area of a parallelogram on two sides and an angle of 30
Area of a parallelogram on two sides and an angle of 45
Area of a parallelogram on two sides and an angle of 60
The area of a parallelogram on two sides and an angle of 90

Area of a rhombus with diagonals d1, d2

Formula for the area of a rhombus

Area of a rhombus with side a and angle γ

Area of a rhombus
Area of a rhombus with an angle of 30
Area of a rhombus with an angle of 45
Area of a rhombus with an angle of 60
Area of a rhombus with an angle of 90

Area of a rectangle with sides a, b

S = a * b


Area of a square with side a

S = a2


Area of a square with diagonal d

S = 1/2 * d2


Area of a trapezoid with bases a, b and height h

S = 1/2 * (a + b)* h



JustNoteIt - Note taking solution for professionals
Related Sites & Topics:
Copyright © 2025 Intemodino Group s.r.o.
All rights reserved
Menu