Geometry Calculator
Calculate area, perimeter, volume, and surface area of various shapes
Geometry Formulas
2D Shapes - Area
Triangle: ½ × base × height
Rectangle: length × width
Circle: πr²
Square: side²
2D Shapes - Perimeter
Triangle: a + b + c
Rectangle: 2(l + w)
Circle: 2πr
Square: 4s
3D Objects - Volume
Cube: s³
Sphere: (4/3)πr³
Cylinder: πr²h
Cone: (1/3)πr²h
3D Objects - Surface Area
Cube: 6s²
Sphere: 4πr²
Cylinder: 2πr² + 2πrh
Cone: πr² + πr√(r² + h²)
Benefits & Features
Our geometry calculator offers multiple advantages:
Comprehensive Shape Support
- 2D shapes (triangles, circles, etc.)
- 3D objects (cubes, spheres, etc.)
- Regular and irregular shapes
- Multiple calculation types
- Visual shape representation
Easy to Use Interface
- Dynamic input fields
- Clear result display
- Visual shape preview
- Step-by-step solutions
- Mobile-friendly design
Educational Features
- Formula explanations
- Step-by-step calculations
- Visual learning aids
- Practice problems
- Common geometry concepts
Frequently Asked Questions
There are several ways to calculate a triangle's area: 1) Using base and height: Area = ½ × base × height, 2) Using three sides (Heron's formula): Area = √(s(s-a)(s-b)(s-c)) where s = (a+b+c)/2, 3) Using two sides and included angle: Area = ½ × a × b × sin(C).
Area measures the space inside a 2D shape (measured in square units like m²), while perimeter measures the distance around the outside edge of a shape (measured in linear units like m). For example, a square with 4m sides has a perimeter of 16m and an area of 16m².
Volume is the amount of space inside a 3D object. The formula depends on the shape: Cube: V = s³, Sphere: V = (4/3)πr³, Cylinder: V = πr²h, Rectangular Prism: V = l×w×h. Volume is measured in cubic units (e.g., m³).
Surface area is the total area of all faces of a 3D object. To calculate it, find the area of each face and add them together. For example, a cube has 6 equal square faces, so its surface area is 6s² where s is the length of an edge.