Area Formulas Reference
Complete cheat sheet of 2D area formulas with mini-calculators. Square, rectangle, triangle, circle, ellipse, parallelogram, trapezoid, rhombus, sector, regular polygon.
Square
A = a²
Rectangle
A = a × b
Triangle
A = ½ × b × h
Circle
A = π × r²
Ellipse
A = π × a × b
Parallelogram
A = a × h
Trapezoid
A = ½ × (a + b) × h
Rhombus
A = ½ × d₁ × d₂
Sector
A = ½ × r² × θ
Regular Polygon
A = (n × a² / 4) × cot(π/n)
How to Use the Area Formulas Reference
- Browse the reference table to find the values you need.
- Use search or scroll to locate specific entries.
- Click on a value to copy it or see more details.
- Use the table as a quick reference during calculations or study.
Referência Rápida
| De | Para |
|---|---|
| 1 × 1 | 1 |
| 5 × 5 | 25 |
| 7 × 8 | 56 |
| 9 × 9 | 81 |
| 12 × 12 | 144 |
| 15 × 15 | 225 |
Casos de Uso
- •Quick lookup of values during math class or professional work.
- •Verifying calculations without needing a full scientific calculator.
- •Studying mathematical relationships, patterns, and properties.
- •Using as a handy reference during engineering or science tasks.
Fórmula
Area measures the size of a two-dimensional surface. Each geometric shape has a specific formula derived from its properties.
Perguntas Frequentes
What is the area formula for a triangle?
The most common formula is A = ½ × base × height. For a triangle with three known sides a, b, c, use Heron's formula: A = √(s(s−a)(s−b)(s−c)), where s = (a+b+c)/2.
How do I calculate the area of a circle?
A = π × r², where r is the radius. For example, a circle with radius 5 has area = π × 25 ≈ 78.54 square units.
What is the area formula for a regular polygon?
A = (n × a²) / (4 × tan(π/n)), where n is the number of sides and a is the side length. For a regular hexagon with side 6: A = (6 × 36) / (4 × tan(π/6)) ≈ 93.53.
How do I find the area of a trapezoid?
A = ½ × (a + b) × h, where a and b are the parallel sides and h is the height between them.