🎓 Mathematics • Geometry
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Area Calculator
Calculates planar surface area for common 2D geometric shapes with interactive parameter inputs.
Multi-Room Schedule
Composite Floor Area
Square Feet
608
ft² totalSquare Meters
56.5
m² metricSquare Yards
67.6
yd² carpetRoom-by-Room Area:
Living Room (18' × 14')
252 sq ft41.4%
Primary Bedroom (15' × 12')
180 sq ft29.6%
Kitchen & Dining (16' × 11')
176 sq ft28.9%
What is Surface Area?
Area measures the two-dimensional size of a planar surface in square units (m², ft², cm²).
Formula & Step-by-Step Calculation
Rectangle: l × w, Trapezoid: ½(a + b)h, Circle: πr²
Geometric area integration formulas.
Worked Step-by-Step Examples
Example 1
Area of circle with radius 5
Solution: 78.54
• π × 5² = 25π ≈ 78.54
Common Real-World & Academic Use Cases
- ✓ Carpet and tile installation
- ✓ Land parcel sizing
- ✓ Fabric cutting efficiency
How to Use the Area Calculator
1
Select Shape
Choose Rectangle, Circle, Trapezoid, etc.
2
Input Dimensions
Enter dimensions.
3
Read Area
View calculated square area.
Frequently Asked Questions
Q: How do you calculate trapezoid area?
Average the two parallel base lengths and multiply by the height.