Fläche und Umfang von Formen | Formel und Beispiele
Berechnen von Fläche und Umfang von Formen mit Formeln und Beispielen
Interactive Area and Perimeter Visualization
Welcome to the Area and Perimeter Calculator
This interactive visualization helps you understand how to calculate area and perimeter for different geometric shapes. Explore formulas, see step-by-step calculations, and visualize how dimensions affect measurements.
What you can explore:
- Area - The space inside a shape (square units)
- Perimeter - The distance around a shape (linear units)
- Formulas - Mathematical formulas for each shape
- Calculations - Step-by-step computation process
How to Use This Visualization
Interactive Features:
- • Select Shape - Choose from 6 different shapes
- • Adjust Dimensions - Change size with sliders
- • View Formulas - See area and perimeter formulas
- • See Calculations - Step-by-step computation
What You'll See:
- • Shape Drawing - Visual representation with dimensions
- • Dimension Labels - Measurements shown on shape
- • Area & Perimeter - Calculated values in real-time
- • Formulas & Steps - How calculations are performed
Area
80.00 square units
A = length × width
10 × 8 = 80.00
Perimeter
36.00 units
P = 2 × (length + width)
2 × (10 + 8) = 2 × 18 = 36.00
Understanding Area
Area is the amount of space inside a two-dimensional shape.
It's measured in square units (e.g., square meters, square feet, square centimeters).
To find area, you multiply dimensions together or use specific formulas for each shape type.
Examples: Rectangle = length × width, Circle = π × radius²
Understanding Perimeter
Perimeter is the distance around the outside of a shape.
It's measured in linear units (e.g., meters, feet, centimeters).
To find perimeter, you add up all the side lengths of the shape.
Examples: Rectangle = 2 × (length + width), Circle = 2 × π × radius
Common Area and Perimeter Formulas
Rectangle:
Area = l × w, Perimeter = 2(l + w)
Square:
Area = s², Perimeter = 4s
Triangle:
Area = (b × h) / 2, Perimeter = sum of sides
Circle:
Area = πr², Circumference = 2πr
Parallelogram:
Area = b × h, Perimeter = 2(a + b)
Trapezoid:
Area = (a + b)h / 2, Perimeter = sum of sides
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