Perimeter Calculator
Calculation Steps
📌 Definition of Perimeter
The perimeter is the total length of the boundary of a two-dimensional shape. It is calculated by summing the lengths of all sides and is measured in linear units such as meters (m) or feet (ft).
📌 Key Perimeter Formulas
Perimeter calculations vary depending on the shape:
- Square: P = 4 × side
- Rectangle: P = 2 × (length + width)
- Triangle: P = side₁ + side₂ + side₃
- Circle (Circumference): P = 2π × r
📌 Examples of Perimeter Calculation
| Shape | Formula | Example Calculation |
|---|---|---|
| Square (side = 5) | 4 × side | 4 × 5 = 20 |
| Rectangle (l = 7, w = 3) | 2 × (length + width) | 2 × (7 + 3) = 20 |
| Triangle (sides = 3, 4, 5) | side₁ + side₂ + side₃ | 3 + 4 + 5 = 12 |
| Circle (r = 4) | 2π × r | 2π × 4 ≈ 25.13 |
🔧 Practical Applications of Perimeter Calculation
1. Landscaping & Fencing: Helps determine the length of fencing required to enclose a property or garden.
2. Architecture & Construction: Used for planning the boundaries of plots and buildings.
3. Sports & Recreation: Essential for designing tracks, fields, and recreational areas.
4. Urban Planning: Important for calculating the boundaries of parks and public spaces.
❓ FAQs
Q1: How do I calculate the perimeter of a rectangle?
✅ Use the formula P = 2 × (length + width).
Q2: What is the perimeter of a circle called?
✅ It is known as the circumference, calculated by P = 2π × r.
Q3: Can the perimeter be measured in units other than meters?
✅ Yes, it can be measured in any linear unit such as feet, yards, or inches.
Q4: How do I calculate the perimeter of an irregular shape?
✅ Sum the lengths of all the sides of the shape.
Q5: Where is perimeter calculation commonly used?
✅ In construction, landscaping, and urban planning to define boundaries and dimensions.