Calculators›Geometry›Quadrilaterals

Geometry

Quadrilaterals

Squares, rectangles, rhombi and trapezoids.

Square area

S = a²→Geometry

Square perimeter

P = 4a→Geometry

Rectangle area

S = a × b→Geometry

Rectangle diagonal

d = √(a² + b²)→Geometry

Rhombus area from diagonals

S = d₁d₂ / 2→Geometry

Trapezoid area

S = (a + b)h / 2→Geometry

Square radii and area from diagonal

r=d/(2√2); R=d/2; S=d²/2→Geometry

All square properties from side

All square properties from side: calculated from the entered values→Geometry

Rectangle from diagonal and angle

a=d cosα; b=d sinα; S=ab→Geometry

All rectangle properties from sides

All rectangle properties from sides: calculated from the entered values→Geometry

Parallelogram area from base and height

S = ah→Geometry

Parallelogram area from sides and angle

S = ab sinγ→Geometry

Parallelogram perimeter

P = 2(a+b)→Geometry

Parallelogram diagonal from sides and angle

d = √(a²+b²−2ab cosγ)→Geometry

Parallelogram properties from sides and height

S=ah; P=2(a+b)→Geometry

Rhombus area from side and height

S = ah→Geometry

Rhombus perimeter

P = 4a→Geometry

Rhombus diagonal from side and angle

d₁ = 2a cos(α/2)→Geometry

Rhombus inradius

r = S / 2a→Geometry

Rhombus properties from side and height

S=ah; P=4a; r=S/(2a)→Geometry

Opposite angle of a cyclic quadrilateral

α = 180° − γ→Geometry

Tangential quadrilateral side

d = a + c − b→Geometry

Ptolemy's theorem

e = (ac+bd)/f→Geometry

Quadrilateral area by Brahmagupta's formula

S = √((p−a)(p−b)(p−c)(p−d))→Geometry

Kite area from diagonals

S = d₁d₂ / 2→Geometry

Quadrilateral area from diagonals and angle

S = d₁d₂ sinφ / 2→Geometry

Trapezoid midline

m = (a+b)/2→Geometry

Trapezoid area from midline

S = mh→Geometry

Isosceles trapezoid height

h = √(c²−((b−a)/2)²)→Geometry

Isosceles trapezoid diagonal

d = √(ab+c²)→Geometry

Trapezoid perimeter

P = a+b+c+d→