📐 Understanding Area Formulas
The area formula is a fundamental concept in geometry used to calculate the surface space of two-dimensional and three-dimensional shapes. Every figure—like a square, rectangle, circle, or triangle—has its own unique area formula based on its dimensions. Learning these formulas helps you measure surfaces accurately in mathematics, design, architecture, and daily problem-solving.
Our table below summarizes the most common area formulas with simple visuals and clear explanations. From flat shapes such as rectangles and rhombuses to 3D surfaces like cones, spheres, and cylinders, each formula is designed for quick understanding and easy application. Whether you’re a student, teacher, or professional, mastering area formulas will improve your ability to solve geometry problems efficiently and confidently.
| Shape | Image | Formula | Short Description |
|---|---|---|---|
| Square | A = a² | Side length squared gives the area. | |
| Rectangle | A = l × w | Length multiplied by width. | |
| Triangle | A = ½ × b × h | Half of base times height. | |
| Rhombus | A = ½ × d₁ × d₂ | Half the product of diagonals. | |
| Trapezoid | A = ½ × (a + b) × h | Average of bases times height. | |
| Circle | A = πr² | Pi times radius squared. | |
| Cone (Surface) | A = πr(r + l) | Sum of base and lateral surface areas. | |
| Sphere (Surface) | A = 4πr² | Four times pi times radius squared. | |
| Cylinder (Surface) | A = 2πr(h + r) | Twice pi times radius times (height + radius). |