Area and Perimeter of 2D Shapes Formulas
This article will discuss the formulas for calculating the area and perimeter of common 2D shapes.
Perimeter
The perimeter of a 2D shape is the total length of all its sides. It is calculated by adding up the lengths of all the sides of the shape.
Area
The area of a 2D shape is the amount of space it covers. It is calculated by multiplying the length and width of the shape.
Formulas
Here are the formulas for calculating the area and perimeter of some common 2D shapes:
Square
- Perimeter: P = 4s, where s is the length of one side.
- Area: A = s², where s is the length of one side.
Rectangle
- Perimeter: P = 2l + 2w, where l is the length and w is the width.
- Area: A = l × w, where l is the length and w is the width.
Triangle
- Perimeter: P = a + b + c, where a, b, and c are the lengths of the three sides.
- Area: A = (1/2)bh, where b is the length of the base and h is the height.
Circle
- Perimeter (Circumference): C = 2πr, where r is the radius.
- Area: A = πr², where r is the radius.
Example
Let's say we have a rectangle with a length of 10 cm and a width of 5 cm.
- Perimeter: P = 2(10 cm) + 2(5 cm) = 20 cm + 10 cm = 30 cm
- Area: A = 10 cm × 5 cm = 50 cm²
Conclusion
Knowing the formulas for calculating the area and perimeter of 2D shapes is essential for various applications in mathematics, science, and engineering. By understanding these formulas, you can easily calculate the dimensions and properties of different shapes.
