📐 Area Calculator
Calculate the area of common shapes — rectangle, circle, triangle, trapezoid, parallelogram, and ellipse. Instant results with formulas and step-by-step explanations.
Area Formulas Reference
| Shape | Formula | Variables |
|---|---|---|
| Rectangle | A = l × w | l = length, w = width |
| Circle | A = π × r² | r = radius |
| Triangle | A = ½ × b × h | b = base, h = height |
| Trapezoid | A = ½(a+b) × h | a, b = parallel sides, h = height |
| Ellipse | A = π × a × b | a, b = semi-axes |
Real-World Applications
- Home improvement: Calculate paint, flooring, or tile needed
- Landscaping: Determine grass seed or fertilizer amounts
- Real estate: Compare property sizes
- Construction: Estimate material quantities
Frequently Asked Questions
How do I calculate the area of a circle?
Area = π × r², where r is the radius. For a circle with radius 5: Area = π × 25 ≈ 78.54 square units.
What is the area formula for a triangle?
Area = ½ × base × height. For a triangle with base 10 and height 6: Area = ½ × 10 × 6 = 30 square units.
How do I find the area of an irregular shape?
Divide the irregular shape into regular shapes (rectangles, triangles), calculate each area separately, then add them together.
What units does the area calculator use?
The calculator uses whatever unit you input. If you enter meters, the result is in square meters.