What is the area How to find areas of different geometrical shapes Explain with examples and Diagrams

 The area of a shape is the amount of space enclosed within its boundaries. It's like measuring how much flat surface a shape covers. We typically express area in square units, such as square meters (m²), square centimeters (cm²), or square feet (ft²).

How to Find Areas of Different Geometrical Shapes:

Here's a breakdown of how to calculate areas for some common shapes, accompanied by examples and diagrams:

1. Rectangle

• Formula: Area = length × width [Image: Rectangle with length 'l' and width 'w']

• Example: A rectangular room measures 5 meters long and 3 meters wide. Its area is 5 m × 3 m = 15 m².

2. Square

• Formula: Area = side × side (or side²) [Image: Square with side 's']

• Example: A square tile has a side length of 20 cm. Its area is 20 cm × 20 cm = 400 cm².

3. Triangle

• Formula: Area = ½ × base × height [Image: Triangle with base 'b' and height 'h']

• Example: A triangular garden has a base of 6 meters and a height of 4 meters. Its area is ½ × 6 m × 4 m = 12 m².

4. Circle

• Formula: Area = π × radius² (where π [pi] is approximately 3.14159) [Image: Circle with radius 'r']

• Example: A circular pizza has a radius of 10 inches. Its area is π × 10² = 314.159 square inches.

5. Parallelogram

• Formula: Area = base × height [Image: Parallelogram with base 'b' and height 'h']

• Example: A parallelogram-shaped park has a base of 80 meters and a height of 50 meters. Its area is 80 m × 50 m = 4000 m².

6. Trapezoid

• Formula: Area = ½ × height × (sum of parallel sides) [Image: Trapezoid with parallel sides 'a' and 'b', and height 'h']

• Example: A trapezoidal table top has parallel sides of 120 cm and 80 cm, and a height of 60 cm. Its area is ½ × 60 cm × (120 cm + 80 cm) = 6000 cm².

Key Points:

• Units: Always make sure your measurements are in the same units before calculating the area.
• Complex Shapes: For irregular or complex shapes, you may need to divide them into simpler shapes (like triangles and rectangles) and then add the areas of those individual shapes.
• 3D Shapes: The concept of area extends to 3D shapes as well, but then we talk about surface area, which is the total area covering all the external faces of the 3D object.

Remember, practice makes perfect! The more you work with these formulas and visualize the shapes, the easier it will become to calculate areas.

Let me know if you'd like more examples or explanations for specific shapes!