🔢 Math Calculator

📐 How It Works

Calculates the area of common shapes: circle (πr²), rectangle (l×w), triangle (½bh), trapezoid, ellipse, and more.

🔢 Worked Examples

• Circle r=5: A = 78.54
• Rectangle 6×8: A = 48
• Triangle b=10, h=6: A = 30
• Trapezoid a=5, b=9, h=4: A = 28

📋 Common Use Cases

• Flooring and tiling material estimation
• Paint coverage calculations
• Agricultural field planning
• Land survey calculations

💡 Did You Know?

A circle has the largest area of any shape with a given perimeter — this is the "isoperimetric inequality." Ancient Greeks knew this, and it is why bubbles are spherical: they maximise volume for a given surface area.

⚠️ Common Mistake

Using diameter instead of radius in πr² — if the diameter is 10, r = 5 and A = π×25 ≈ 78.54, not π×100 ≈ 314.