Algebra
Quadratic equations, polynomials, linear equations, and algebraic expressions
Geometry
Areas, perimeters, volumes, and surface areas of 2D and 3D shapes
Trigonometry
Sine, cosine, tangent, and trigonometric identities
Coordinate Geometry
Distance, midpoint, slope, and equation of lines
Statistics
Mean, median, mode, standard deviation, and probability
Algebra Calculators
Quadratic Formula: x = (-b ± √(b² - 4ac)) / 2a
Linear Equation: y = mx + b
Polynomial: ax³ + bx² + cx + d
Exponential: y = a(b)^x
Geometry Calculators
Circle Formulas:
Area = πr² | Circumference = 2πr
Area = πr² | Circumference = 2πr
Rectangle Formulas:
Area = length × width | Perimeter = 2(length + width)
Area = length × width | Perimeter = 2(length + width)
Triangle Area: Area = ½ × base × height
Sphere Formulas:
Volume = (4/3)πr³ | Surface Area = 4πr²
Volume = (4/3)πr³ | Surface Area = 4πr²
Cylinder Formulas:
Volume = πr²h | Surface Area = 2πr² + 2πrh
Volume = πr²h | Surface Area = 2πr² + 2πrh
Cone Formulas:
Volume = (1/3)πr²h | Surface Area = πr² + πr√(r² + h²)
Volume = (1/3)πr²h | Surface Area = πr² + πr√(r² + h²)
Trigonometry Calculators
Basic Trigonometric Functions:
sin(θ), cos(θ), tan(θ)
sin(θ), cos(θ), tan(θ)
Inverse Functions: arcsin(x), arccos(x), arctan(x)
Pythagorean Theorem: a² + b² = c²
Law of Cosines: c² = a² + b² - 2ab⋅cos(C)
Law of Sines: a/sin(A) = b/sin(B) = c/sin(C)
Coordinate Geometry
Distance Formula: d = √[(x₂-x₁)² + (y₂-y₁)²]
Midpoint Formula: M = ((x₁+x₂)/2, (y₁+y₂)/2)
Slope Formula: m = (y₂-y₁)/(x₂-x₁)
Point-Slope Form: y - y₁ = m(x - x₁)
Slope-Intercept Form: y = mx + b
Slope-Intercept Form: y = mx + b
Statistics Calculators
Mean: (sum of values) / (number of values)
Median: middle value when sorted
Mode: most frequent value
Median: middle value when sorted
Mode: most frequent value
Standard Deviation: σ = √[Σ(x - μ)² / N]
Probability: P(event) = (favorable outcomes) / (total outcomes)
Combinations: C(n,r) = n! / (r!(n-r)!)
Permutations: P(n,r) = n! / (n-r)!
Permutations: P(n,r) = n! / (n-r)!