Browse Formulas by Category
Algebra is a core branch of mathematics that forms the foundation for solving equations, understanding patterns, and analyzing relationships between numbers. Whether youโre tackling basic equations or diving into advanced topics like logarithms and the complex plane, having a reliable guide to algebra formulas is essential. This page brings you a comprehensive collection of formulas to help you solve problems efficiently and confidently.
Triangle
Learn all important formulas related to triangles, including area, height, perimeter, and angle relations. Ideal for school and competitive exams.
- Key Definition - Triangle and Its Components
- Key Triangle Formulas
- Understanding the Median in Geometry
- Key Properties of Angle Bisectors
- Fundamental Properties - Angle and Side Relationships
- Area Formulas - Multiple Calculation Methods
- Classification - Types of Triangles
- Law of Sines and Cosines - Trigonometric Relations
- Special Lines and Points - Centers and Concurrency
- Circle Relationships - Inscribed and Circumscribed
- Common Mistakes and Key Points
Right Triangle
Explore right triangle formulas including area, perimeter, and the Pythagorean theorem. Key reference for geometry and trigonometry.
- Key Definition - Right Triangle and Its Components
- Key Properties of Right Triangles
- Pythagorean Theorem - Fundamental Relationship
- Trigonometric Ratios - Sine, Cosine, Tangent
- Area and Perimeter - Measurements
- Special Right Triangles - 30-60-90 and 45-45-90
- Pythagorean Triples - Integer Solutions
- Altitude and Geometric Mean - Height Relationships
- Common Mistakes and Key Points
Square
Find square formulas for area, perimeter, and diagonal. Simple yet essential for all geometry learners.
- Key Definition - Square and Its Components
- Fundamental Measurements - Area and Perimeter
- Diagonal Properties - Equal and Perpendicular
- Symmetry Properties - Perfect Balance
- Coordinate Geometry - Analytical Methods
- Inscribed and Circumscribed Circles - Circle Relationships
- Tessellation and Tiling - Pattern Formation
- Common Mistakes and Key Points
Rectangle
Discover all formulas of a rectangle including area, perimeter, and diagonal length. Suitable for students and exam prep.
- Key Definition - Rectangle and Its Components
- Fundamental Measurements - Area and Perimeter
- Diagonal Properties - Equal and Bisecting
- Special Cases - Square and Golden Rectangle
- Coordinate Geometry - Analytical Methods
- Optimization Problems - Maximizing and Minimizing
- Symmetry Properties - Lines and Rotations
- Common Mistakes and Key Points
Parallelogram
Learn all formulas for parallelograms including area, base, height, and side relations. Useful for geometry and math exams.
- Key Definition - Parallelogram and Its Components
- Key Formulas for a Parallelogram
- Fundamental Measurements - Area and Perimeter
- Diagonal Properties - Bisection and Relationships
- Angle Relationships - Supplementary Properties
- Vector Representation - Coordinate Geometry
- Special Types - Rectangle, Rhombus, Square
- Transformations and Mappings - Geometric Operations
- Common Mistakes and Key Points
Lozenge
Explore lozenge (rhombus) formulas for area, perimeter, and diagonals. A key shape in geometry with useful properties.
- Key Definition - Lozenge and Its Components
- Key Properties of a Lozenge
- Key Formulas for a Lozenge
- Diagonal Properties - Perpendicular Bisectors
- Angle Relationships - Acute and Obtuse Pairs
- Coordinate Geometry - Analytical Methods
- Symmetry Properties - Rotational and Reflectional
- Tessellation and Patterns - Geometric Arrangements
- Common Mistakes and Key Points
Trapezoid
Study key formulas of a trapezoid including area, height, and midsegment. Great for geometry and competitive exams.
- Key Definition - Trapezoid and Its Components
- Fundamental Measurements - Area and Perimeter
- Special Types - Isosceles and Right Trapezoids
- Angle Relationships - Parallel Side Properties
- Coordinate Geometry - Analytical Methods
- Midsegment Properties - Median Theorems
- Diagonal Properties - Intersection and Lengths
- Common Mistakes and Key Points
Convex Quadrilateral
Understand area and angle sum properties of convex quadrilaterals. Important for advanced geometry learning.
- Key Definition - Convex Quadrilateral and Its Properties
- Fundamental Properties - Angle and Side Relationships
- Area Formulas - Different Calculation Methods
- Special Quadrilaterals - Classification and Properties
- Coordinate Geometry - Analytical Methods
- Advanced Theorems - Geometric Relationships
- Optimization and Extremal Properties
- Common Mistakes and Key Points
Circle
Learn all essential circle formulas including area, circumference, radius, diameter, and ฯ-related equations.
- Key Definition - Circle and Its Components
- Fundamental Measurements - Circle Properties
- Circle Parts and Angles - Geometric Elements
- Circle Theorems - Fundamental Relationships
- Coordinate Geometry - Analytical Circle Methods
- Advanced Circle Concepts - Complex Applications
- Circle Transformations - Geometric Operations
- Common Mistakes and Key Points
Segment of Circle
Discover formulas for the segment of a circle, including area and arc length calculations. Useful for advanced geometry.
- Key Definition - Segment and Its Components
- Fundamental Area Formula - Sector Minus Triangle
- Chord and Height Relationships - Geometric Properties
- Alternative Area Formulas - Using Chord and Height
- Perimeter and Arc Length - Boundary Measurements
- Special Cases - Semicircle and Common Angles
- Centroid and Moment - Center of Mass
- Common Mistakes and Key Points
Sector of Circle
Explore formulas for a circle sector including area, central angle, and arc length. Core part of circle geometry.
- Key Definition - Sector and Its Components
- Key Formulas for a Sector
- Fundamental Measurements - Arc Length and Area
- Alternative Area Formulas - Different Approaches
- Angle Conversions - Degrees and Radians
- Perimeter and Boundary - Complete Measurements
- Special Sectors - Common Angular Measures
- Sector vs Segment - Related Concepts
- Applications of Circle Sectors
- Common Mistakes and Key Points
Regular Poligon of N Sides
Learn formulas for any regular polygon with N sides, including area, interior/exterior angles, and perimeter.
- Key Definition - Regular N-gon and Its Components
- Essential Formulas for Regular Polygons
- Fundamental Angle Formulas - Interior and Exterior Angles
- Area and Perimeter - Fundamental Measurements
- Radius Relationships - Circumradius and Apothem
- Coordinate Geometry - Vertex Positions
- Symmetry Properties - Rotational and Reflectional
- Common Regular Polygons - Specific Cases
- Common Mistakes and Key Points
Hexagon
Study the geometry of regular hexagons including area, perimeter, side length, and diagonals. Great for board exams.
- Key Definition - Hexagon and Its Components
- Regular Hexagon Measurements - Area and Perimeter
- Alternative Area Formulas - Different Approaches
- Symmetry Properties - Rotational and Reflectional
- Coordinate Geometry - Analytical Methods
- Tessellation and Packing - Geometric Efficiency
- Irregular Hexagons - General Properties
- Common Mistakes and Key Points
Sphere
Learn key sphere formulas including volume and surface area. A fundamental part of 3D geometry.
- Key Definition - Sphere and Its Components
- Fundamental Measurements - Volume and Surface Area
- Spherical Coordinates - Three-Dimensional System
- Cross-Sections and Projections - Planar Intersections
- Optimization Properties - Isoperimetric Relations
- Integration and Calculus - Mathematical Derivations
- Special Properties - Symmetry and Geometry
- Common Mistakes and Key Points
Sperical Cap
Explore formulas of a spherical cap including volume and curved surface area. Advanced geometry topic for engineering and physics.
- Key Definition - Spherical Cap and Its Components
- Fundamental Measurements - Volume and Surface Area
- Geometric Relationships - Radius and Height
- Alternative Volume Formulas - Different Approaches
- Special Cases - Hemisphere and Small Caps
- Centroid and Moment - Center of Mass
- Integration Derivation - Calculus Approach
- Common Mistakes and Key Points
Sperical Segment
Learn formulas for spherical segments including volume and area. A useful shape in solid geometry.
- Key Definition - Spherical Segment and Its Components
- Fundamental Volume Formula - Integration Method
- Geometric Relationships - Radii and Heights
- Surface Area Components - Curved and Flat Surfaces
- Alternative Formulations - Cap Difference Method
- Special Cases - Common Configurations
- Centroid and Moment - Center of Mass
- Common Mistakes and Key Points
Sperical Sector
Discover formulas of a spherical sector including surface area and volume. Applicable in geometry and physics.
- Key Definition - Spherical Sector and Its Components
- Fundamental Measurements - Volume and Surface Area
- Alternative Volume Formulas - Different Approaches
- Solid Angle Relationships - Steradian Measurements
- Geometric Relationships - Angles and Dimensions
- Special Cases - Common Configurations
- Integration Derivation - Spherical Coordinates
- Common Mistakes and Key Points
Torus
Learn the torus formulas for volume and surface area. Important for 3D geometry and visual mathematics.
- Key Definition - Torus and Its Components
- Surface Area of the Torus A
- Base Circle Length b
- Fundamental Measurements - Volume and Surface Area
- Parametric Representation - Coordinate System
- Alternative Formulations - Different Approaches
- Topological Properties - Genus and Characteristics
- Special Cases - Degenerate and Limiting Forms
- Curvature Properties - Gaussian and Mean Curvature
- Common Mistakes and Key Points
Cylinder
Find all formulas for a cylinder including surface area, volume, radius, and height. Useful for 3D geometry problems.
- Key Definition - Cylinder and Its Components
- Fundamental Measurements - Volume and Surface Area
- Cylinder Development - Unfolding and Net Construction
- Special Cases - Variations and Related Shapes
- Coordinate Geometry - Analytical Cylinder Methods
- Calculus Applications - Integration and Optimization
- Optimization Problems - Extremal Properties
- Common Mistakes and Key Points
Cone
Explore cone formulas for volume, lateral area, height, and slant height. A key 3D shape in geometry.
- Key Definition - Cone and Its Components
- Fundamental Measurements - Cone Properties
- Cone Sections and Cross-Sections - Planar Intersections
- Cone Development - Flattening and Unfolding
- Coordinate Geometry - Analytical Cone Methods
- Truncated Cones (Frustums) - Partial Cone Sections
- Special Cone Types - Variations and Applications
- Common Mistakes and Key Points
Frustum of Right Circular Cone
Learn the formulas for a frustum of a cone including volume, lateral surface area, and height. Advanced geometry reference.
- Key Definition - Frustum and Its Components
- Fundamental Measurements - Volume and Surface Area
- Geometric Relationships - Proportions and Scaling
- Alternative Volume Derivation - Using Complete Cone
- Coordinate Geometry - Analytical Methods
- Special Cases - Limiting Behaviors
- Development and Net Construction
- Common Mistakes and Key Points
Pyramid
Discover pyramid formulas including volume, base area, lateral surface, and height. Includes right and regular pyramids.
- Key Definition - Pyramid and Its Components
- Fundamental Measurements - Volume and Surface Area
- Specific Pyramid Types - Triangular, Square, Pentagonal
- Slant Height and Edge Relationships
- Coordinate Geometry - Analytical Methods
- Truncated Pyramids (Frustums) - Partial Pyramid Sections
- Regular Tetrahedron - Special Triangular Pyramid
- Common Mistakes and Key Points
Cuboid
Study all formulas of a cuboid including volume, surface area, and space diagonals. Great for 3D geometry basics.
- Key Definition - Cuboid and Its Components
- Fundamental Measurements - Volume and Surface Area
- Face and Edge Properties - Geometric Elements
- Special Cases - Cube and Square Prisms
- Coordinate Geometry - Analytical Methods
- Optimization Problems - Extremal Properties
- Transformations and Scaling - Geometric Operations
- Common Mistakes and Key Points
Triangular Prism
Learn triangular prism formulas for volume, surface area, and lateral faces. Perfect for geometry learners and practical applications.
- Key Definition - Triangular Prism and Its Components
- Fundamental Properties - Structural Characteristics
- Volume Formulas - Spatial Content Calculations
- Surface Area - Total External Surface
- Classification - Types of Triangular Prisms
- Special Calculations - Advanced Measurements
- Special Cases - Right Triangular Prisms
- Common Mistakes and Key Points
Why Choose Our Math Formula Collection?
โ Comprehensive Coverage
Over 400 formulas across all major mathematical disciplines
๐ Solved Examples
Each formula includes detailed examples and step-by-step solutions
๐ฏ Easy Navigation
Well-organized categories for quick formula discovery
๐ Always Free
Complete access to all formulas without any restrictions
Never Struggle with Math Formulas Again!
Whether you're preparing for an exam, solving real-world problems, or just brushing up on your skills, our formula collection is designed to make learning math intuitive and efficient.
๐ Bookmark This PageEssential Geometry Concepts
๐ Measurement Formulas
Learn formulas for calculating lengths, areas, volumes, and angles in geometric figures.
๐บ Triangle Properties
Master triangle relationships, congruence, similarity, and special triangle theorems.
๐ Coordinate Systems
Understand coordinate geometry, transformations, and analytical approaches to shapes.
๐ฏ Problem Solving
Apply geometric formulas to solve real-world problems in engineering and design.
Geometry Study Tips
Visualize Shapes
Always draw diagrams and label all given information clearly before applying formulas.
Practice Regularly
Work through various problems to understand when and how to apply different geometric formulas.
Understand Relationships
Learn how different geometric properties connect and build upon each other.
Check Your Work
Verify answers using alternative methods or by checking if results make logical sense.
Real-World Applications
Architecture & Construction
Calculate building dimensions, material requirements, structural loads, and space planning using geometric formulas.
Art & Design
Create proportional designs, calculate canvas sizes, determine perspective, and plan spatial compositions.
Geography & Mapping
Measure distances, calculate areas of regions, determine coordinates, and create accurate scale representations.
Engineering & Manufacturing
Design mechanical parts, calculate tolerances, optimize material usage, and ensure precise measurements.
Quick Reference Guide
Geometry is the foundation of spatial understanding and mathematical visualization. Whether you're calculating areas for construction projects, determining volumes for manufacturing, or solving coordinate problems for computer graphics, these formulas provide the essential tools for precise geometric calculations.