Area Calculator
What is Area?
Area is the amount of space inside the boundary of a flat (2-dimensional) object such as a triangle or circle. It is measured in square units, such as square meters (m²), square feet (ft²), or square inches (in²).
Area Formulas for Common Shapes
Rectangle
Area = Length × Width
A rectangle with length 5 m and width 3 m has an area of 15 m².
Square
Area = Side² (Side squared)
A square with sides of 4 cm has an area of 16 cm².
Circle
Area = π × Radius²
A circle with radius 3 m has an area of approximately 28.27 m².
Triangle
Area = ½ × Base × Height
A triangle with base 6 cm and height 4 cm has an area of 12 cm².
Trapezoid
Area = ½ × (a + c) × h
Where a and c are the parallel sides and h is the height.
Parallelogram
Area = Base × Height
Where height is the perpendicular distance between parallel sides.
Ellipse
Area = π × a × b
Where a and b are the semi-major and semi-minor axes.
Regular Polygon
Area = ¼ × n × s² × cot(π/n)
Where n is the number of sides and s is the side length.
Applications of Area Calculations
Area calculations are used in many real-world applications:
- Construction and Architecture: Calculating flooring materials, paint needed for walls, or land area for building projects
- Agriculture: Determining crop yields, irrigation requirements, or land management
- Real Estate: Measuring property size for valuation and sales
- Manufacturing: Calculating material requirements for production
- Science and Engineering: Analyzing surface areas in physics, chemistry, and engineering applications
Tips for Accurate Area Calculations
- Always use consistent units of measurement
- For irregular shapes, consider breaking them down into simpler shapes
- Double-check your measurements before calculating
- Remember that area is always expressed in square units
- When working with circles, use 3.14159 or π for more precise calculations