2d Shapes Formula Area And Perimeter

3 min read Jul 07, 2024
2d Shapes Formula Area And Perimeter

2D Shapes: Formula for Area and Perimeter

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2D Shapes: What are they?

Two-dimensional shapes, also known as 2D shapes, are geometric shapes that have two dimensions: length and width. Examples of 2D shapes include squares, rectangles, triangles, circles, and many more.

Why are Area and Perimeter Important?

The area and perimeter of a 2D shape are two fundamental properties that are used in various real-world applications, such as architecture, engineering, design, and more. Understanding how to calculate the area and perimeter of a shape is crucial in these fields.

Formulas for Area and Perimeter of Common 2D Shapes

1. Square

  • Area: A = s^2 (where s is the side length)
  • Perimeter: P = 4s

2. Rectangle

  • Area: A = l × w (where l is the length and w is the width)
  • Perimeter: P = 2(l + w)

3. Triangle

  • Area: A = (b × h) / 2 (where b is the base and h is the height)
  • Perimeter: P = a + b + c (where a, b, and c are the sides)

4. Circle

  • Area: A = πr^2 (where π is approximately 3.14 and r is the radius)
  • Perimeter (Circumference): P = 2πr

5. Rhombus

  • Area: A = (d1 × d2) / 2 (where d1 and d2 are the diagonals)
  • Perimeter: P = 4s (where s is the side length)

6. Trapezium

  • Area: A = (h × (a + b)) / 2 (where h is the height, a and b are the parallel sides)
  • Perimeter: P = a + b + c + d (where a, b, c, and d are the sides)

Conclusion

Understanding the formulas for area and perimeter of 2D shapes is essential in various mathematical and real-world applications. By memorizing these formulas, you can easily calculate the area and perimeter of different shapes and apply them to solve problems in various fields.

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