Geometry
2D Areas, 3D Solids, Volumes, Coordinates & Trigonometric Ratios. All computations happen instantly in your browser with zero latency and zero data transmitted to servers.
Circle Area
Calculate the surface area of a circle from its radius.
Circle Circumference
Calculate the perimeter (circumference) of a circle from its radius or diameter.
Rectangle Area & Perimeter
Calculate the area, perimeter, and diagonal length of a rectangle.
Triangle Area (Base & Height)
Calculate triangle area from known base and perpendicular height.
Triangle Area (Heron's Formula)
Calculate triangle area from the lengths of its three sides a, b, and c.
Trapezoid Area
Calculate the area of a trapezoid (trapezium) from parallel bases and height.
Ellipse Area & Perimeter
Calculate area and Ramanujan perimeter of an ellipse from semi-major and semi-minor axes.
Cylinder Volume & Surface Area
Calculate volume and total surface area of a circular cylinder.
Sphere Volume & Surface Area
Calculate the volume and outer surface area of a sphere.
Cone Volume & Slant Height
Calculate cone volume, slant height s = √(r² + h²), and total surface area.
Pyramid Volume (Square Base)
Calculate the volume and lateral surface area of a square-based pyramid.
Regular Polygon Calculator
Calculate the area, perimeter, apothem, and interior angle of any regular n-sided polygon from 3 to 100 sides.
2D Coordinate Distance & Midpoint Calculator
Calculate Euclidean distance, midpoint coordinates, slope, and line equation between two points (x₁, y₁) and (x₂, y₂).
Geometric Shapes, Surface Areas & Volumes
Geometry is the study of space, sizes, and shapes all around us. Whether measuring a bedroom floor for new tiles, calculating how much water fits in a cylindrical tank, or figuring out the slant height of a cone, these tools turn complex spatial formulas into simple calculations.
What You Can Calculate in This Hub
Popular Problem-Solving Workflows
- •Always make sure all measurements use the same unit (meters, centimeters, or inches) before calculating area or volume.
- •Area is always measured in square units (like cm² or sq ft), while volume is measured in cubic units (like m³ or liters).
Think of perimeter as building a fence around a yard, area as the grass covering the yard, and volume as filling the yard with water!
Geometry Formulas Guide: How to Calculate 2D Area, Perimeter and 3D Volume
Master the fundamental equations for planar shapes and three-dimensional geometric solids with step-by-step derivations.