Geometry Calculator
Free geometry calculator. Find area, perimeter, volume and surface area for circles, rectangles, triangles, spheres and more. Step-by-step formulas.
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Shape Calculator
Comprehensive Guide & Practice
Master the mathematical principles, formulas, and step-by-step methods with worked examples and FAQs.
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1. Geometry Formulas — Complete Reference
Geometry is the study of shapes, their properties, and the relationships between them. These formulas are essential for students from middle school through university.
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2. Area Formulas
- Rectangle: A = length × width
- Square: A = side²
- Triangle: A = ½ × base × height
- Circle: A = π × radius² ≈ 3.14159 × r²
- Parallelogram: A = base × height
- Trapezoid: A = ½ × (base₁ + base₂) × height
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3. Perimeter Formulas
- Rectangle: P = 2(length + width)
- Square: P = 4 × side
- Triangle: P = a + b + c (sum of all three sides)
- Circle (Circumference): C = 2πr = πd
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4. Volume Formulas
- Cube: V = side³
- Rectangular Prism: V = l × w × h
- Cylinder: V = π × r² × h
- Sphere: V = (4/3) × π × r³
- Cone: V = (1/3) × π × r² × h
See also: Triangle Calculator | Area & Perimeter Guide | Pythagorean Theorem | Volume & Surface Area