Area Calculator
Calculate the area of various geometric shapes with detailed step-by-step solutions. Perfect for students learning geometry and area calculations.
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Step-by-Step Solution
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Enter values and click "Calculate Area" to see the detailed solution steps.
Area Formulas Quick Reference
Rectangle
Area = length × width
Square
Area = side²
Circle
Area = π × radius²
Triangle
Area = ½ × base × height
Understanding Area Calculations
What is Area?
Area is the measure of the space inside a closed figure. It tells us how much surface is covered by a shape and is always expressed in square units (like cm², m², ft²).
Common Applications
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Home Improvement: Calculating paint needed for walls
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Construction: Determining carpet or flooring requirements
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Landscaping: Planning garden and landscaping projects
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Engineering: Engineering and construction planning
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Education: Mathematics homework and exams
Key Formulas
Rectangle:
Area = length × width
Circle:
Area = π × radius²
Triangle:
Area = ½ × base × height
Trapezoid:
Area = ½ × (b₁ + b₂) × height
Tips for Accurate Calculations
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Always measure in the same units
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Double-check your measurements
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Round final answers appropriately
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Consider adding 5-10% extra for waste in practical applications