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Calculate area, perimeter & dimensions of square, rectangle, circle, triangle, polygon & more shapes instantly with step-by-step solutions.
Calculate area, perimeter & dimensions for all geometric shapes
An area calculator is a mathematical tool that calculates the surface area of 2D geometric shapes. It helps you find the amount of space enclosed within the boundaries of various shapes like squares, rectangles, circles, triangles, and polygons. Our calculator is developed by mathematics educators and verified by geometry experts to ensure accuracy for students, professionals, and educators.
Select Shape: Choose from 12+ shapes including square, circle, triangle, polygon, etc.
Choose Unit: Select your preferred measurement unit (mm, cm, m, inch, feet)
Enter Dimensions: Input the required measurements (side, radius, base, height, etc.)
Calculate: Click the "Calculate" button to get instant results with step-by-step solutions
View Results: See area, perimeter, and detailed calculation steps. Download or copy results as needed
Area = a² (where a = side length)
Perimeter = 4a
Example: Side = 5 cm → Area = 25 cm²
Area = l × w (length × width)
Perimeter = 2(l + w)
Example: 10×6 cm → Area = 60 cm²
Area = πr² (where r = radius)
Circumference = 2πr
Example: Radius = 7 cm → Area = 153.94 cm²
Area = ½ × base × height
Heron's Formula: A = √[s(s-a)(s-b)(s-c)]
Example: Base=10, Height=8 → Area = 40 cm²
Area = base × height
Perimeter = 2(a + b)
Example: Base=12, Height=5 → Area = 60 cm²
Area = ½(b₁ + b₂) × h
Two parallel bases and height
Example: Bases=8,12, Height=5 → Area = 50 cm²
Area = ½ × d₁ × d₂ (diagonals)
Perimeter = 4a (all sides equal)
Example: Diagonals=10,8 → Area = 40 cm²
Area = π × a × b
a = semi-major, b = semi-minor axis
Example: a=10, b=6 → Area = 188.50 cm²
Area of square = side². For example, if side = 5 cm, then area = 5² = 25 cm². The formula is A = a² where 'a' is the length of one side. All four sides of a square are equal.
Area of circle = πr² where r is the radius. For example, if radius = 7 cm, area = π × 7² = 153.94 cm². You can also calculate using diameter: A = π(d/2)² or using circumference: A = C²/(4π).
Area of triangle = (1/2) × base × height. For three sides, use Heron's formula: A = √[s(s-a)(s-b)(s-c)] where s is semi-perimeter = (a+b+c)/2. For example, base=10, height=8 gives area = 40 cm².
Area of rectangle = length × width. For example, if length = 15 cm and width = 8 cm, then area = 15 × 8 = 120 cm². The perimeter is 2(l + w) = 46 cm.
Area measures the space inside a shape (in square units like cm²), while perimeter measures the distance around the shape (in linear units like cm). For a square with side 5 cm: area = 25 cm², perimeter = 20 cm.
Area of rhombus = (1/2) × d₁ × d₂ where d₁ and d₂ are the diagonals. For diagonals 10 cm and 8 cm, area = (1/2) × 10 × 8 = 40 cm². All four sides of a rhombus are equal.
Area of regular polygon = (n × s × a) / 2 where n = number of sides, s = side length, a = apothem (perpendicular distance from center to side). For hexagon with side 6 cm, area ≈ 93.53 cm².
To convert area units, square the conversion factor. For example: 1 m² = 10,000 cm² (because 100² = 10,000), 1 ft² = 144 in² (because 12² = 144), 1 m² = 10.764 ft². Our calculator supports multiple units including millimeters, centimeters, meters, inches, and feet for easy conversion and comparison.
Yes, our calculator uses precise mathematical formulas verified by mathematics educators. It provides accuracy up to 4 decimal places, suitable for academic, professional, and construction purposes. However, for critical engineering projects, always verify calculations with licensed professionals.
This Area Calculator was developed by CalcFinex, a team dedicated to creating accurate, user-friendly mathematical tools for students, educators, and professionals. Our calculators are based on standard mathematical formulas and are regularly updated to ensure accuracy and reliability.
Disclaimer: While we strive for accuracy, this calculator is provided for educational and informational purposes. For critical professional applications in construction, engineering, or architecture, please consult with licensed professionals and verify all calculations independently.
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Expert-Verified Calculations: All formulas and calculations are reviewed by certified mathematics educators with 10+ years of teaching experience. Our calculator is trusted by over 50,000 students, teachers, engineers, and professionals worldwide for accurate geometric calculations.
Calculate area for square, rectangle, circle, triangle, polygon, and more shapes
Understand the calculation process with detailed step-by-step explanations
Different input options for each shape (radius/diameter/circumference for circle)
Download or copy calculations for homework, projects, or documentation
Get accurate results in milliseconds with real-time calculation
No registration, no limits, completely free to use anytime
📚 Educational Resource: This calculator is designed by mathematics educators and used by thousands of students daily for homework, exam preparation, and learning geometry concepts. All formulas follow standard mathematical conventions taught in schools and universities worldwide.
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Most competitors offer separate calculators for each shape. We provide all shapes in one unified interface with easy tab switching.
For circles, enter radius, diameter, OR circumference. For triangles, use base & height OR three sides. Competitors typically offer only one method.
We show detailed calculation steps, not just final answers. Perfect for students learning the concepts and formulas.
We support ellipse, regular polygons, sectors, and annulus - shapes that most basic calculators don't include.
Copy or download your calculations for documentation, homework submission, or project reports - feature missing in most calculators.
Fully optimized for mobile, tablet, and desktop. Works perfectly on all devices with touch-friendly interface.