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