Introduction

Calculating the area of various shapes is essential in geometry, real estate, construction, and engineering. This guide will walk you through the formulas for finding the area of a rectangle, triangle, circle, trapezoid, sector, ellipse, and parallelogram.

1. Rectangle

Formula: Area = Length × Width

Example: If a rectangle has a length of 10m and a width of 5m, then:

                Area = 10 × 5 = 50 square meters
            

2. Triangle

Formula: Area = (Base × Height) ÷ 2

Example: If a triangle has a base of 8m and a height of 6m, then:

                Area = (8 × 6) ÷ 2 = 24 square meters
            

3. Circle

Formula: Area = π × Radius²

Example: If a circle has a radius of 7m, then:

                Area = 3.1416 × (7 × 7) = 153.94 square meters
            

4. Trapezoid

Formula: Area = (Base₁ + Base₂) × Height ÷ 2

Example: If a trapezoid has bases of 10m and 6m with a height of 5m, then:

                Area = (10 + 6) × 5 ÷ 2 = 40 square meters
            

5. Sector

Formula: Area = (θ ÷ 360) × π × Radius²

Example: If a sector has a radius of 5m and an angle of 90°, then:

                Area = (90 ÷ 360) × 3.1416 × (5 × 5) = 19.63 square meters
            

6. Ellipse

Formula: Area = π × Major Axis × Minor Axis

Example: If an ellipse has a major axis of 8m and a minor axis of 4m, then:

                Area = 3.1416 × 8 × 4 = 100.48 square meters
            

7. Parallelogram

Formula: Area = Base × Height

Example: If a parallelogram has a base of 12m and a height of 7m, then:

                Area = 12 × 7 = 84 square meters
            

Conclusion

Understanding how to calculate the area of different shapes helps in various real-life applications, from construction to landscaping. Use our online Area Calculator to simplify your calculations!