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Math Formula Encyclopedia

Search, understand, and use formulas across arithmetic, algebra, geometry, trigonometry, calculus, statistics, finance, science, engineering, and everyday math.

134 formulas10 subjectsExamples + variables

18 matching formulas

Geometry

Rectangle Area

A = lw

Area enclosed by a rectangle.

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Geometry

Rectangle Perimeter

P = 2(l+w)

Distance around a rectangle.

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Geometry

Triangle Area

A = ½bh

Area of a triangle.

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Geometry

Heron’s Formula

A = √(s(s−a)(s−b)(s−c))

Area of a triangle from three side lengths.

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Geometry

Pythagorean Theorem

c² = a² + b²

Relates side lengths of a right triangle.

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Trigonometry

Sine Ratio

sin θ = opposite/hypotenuse

Right-triangle sine ratio.

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Trigonometry

Cosine Ratio

cos θ = adjacent/hypotenuse

Right-triangle cosine ratio.

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Trigonometry

Tangent Ratio

tan θ = opposite/adjacent

Right-triangle tangent ratio.

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Trigonometry

Pythagorean Identity

sin²θ + cos²θ = 1

Fundamental identity connecting sine and cosine.

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Trigonometry

Law of Sines

a/sin A = b/sin B = c/sin C

Relates sides and opposite angles in any triangle.

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Trigonometry

Law of Cosines

c² = a² + b² − 2ab cos C

Generalizes the Pythagorean theorem to any triangle.

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Trigonometry

Degrees to Radians

radians = degrees × π/180

Converts degrees to radians.

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Trigonometry

Radians to Degrees

degrees = radians × 180/π

Converts radians to degrees.

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Geometry

Regular Polygon Interior Angle Sum

S=(n−2)×180°

Common reference identity or relationship used in geometry.

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Geometry

Regular Polygon Interior Angle

A=((n−2)×180°)/n

Common reference identity or relationship used in geometry.

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Geometry

Regular Polygon Exterior Angle

E=360°/n

Common reference identity or relationship used in geometry.

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Trigonometry

Double-Angle Sine

sin(2θ)=2sinθ cosθ

Common reference identity or relationship used in trigonometry.

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Trigonometry

Double-Angle Cosine

cos(2θ)=cos²θ−sin²θ

Common reference identity or relationship used in trigonometry.

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