Formula Sheet

Quick reference for common math formulas.

Geometry

Area of Circle

A = πr²

Area of Triangle

A = ½bh

Area of Rectangle

A = lw

Circumference

C = 2πr

Volume of Sphere

V = (4/3)πr³

Volume of Cylinder

V = πr²h

Algebra

Quadratic Formula

x = (−b ± √(b²−4ac)) / 2a

Slope

m = (y₂−y₁) / (x₂−x₁)

Distance

d = √((x₂−x₁)² + (y₂−y₁)²)

Pythagorean Theorem

a² + b² = c²

Trigonometry

Pythagorean Identity

sin²θ + cos²θ = 1

Tangent

tan θ = sin θ / cos θ

Law of Sines

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

Law of Cosines

c² = a² + b² − 2ab cos C