Square Calculator

  • Enter the side length of the square.
  • Select the unit of measurement from the dropdown.
  • Click "Calculate" to calculate the area, perimeter, and diagonal of the square.
  • The results will be displayed below along with the formulas used.
  • You can also view your calculation history in the "Calculation History" section.
  • Click "Clear" to reset the inputs and results.
  • Click "Copy" to copy the results to the clipboard.




Calculation Details:
Calculation History:

    What is Square?

    A square is a two-dimensional geometric shape that is characterized by its four equal sides and four equal angles. In a square, all four sides have the same length, and all four angles are right angles (90 degrees). A square is considered a regular polygon because it has equal sides and equal angles.

    Key properties and characteristics of a square include:

    1. Side Length: All four sides of a square are of equal length, denoted as “s” or “a,” where “s” represents the length of each side.
    2. Angles: All four interior angles of a square are right angles (90 degrees), making it a quadrilateral with perpendicular sides.
    3. Diagonals: A square has two diagonals that bisect each other at right angles and divide the square into four congruent right triangles.

    All Formulae Related to Square

    Basic Dimensions:

    • Perimeter (P): P = 4s (where s is the side length)
    • Area (A): A = s²
    • Diagonal length (d): d = s√2

    Additional Calculations:

    • Area of a square inscribed in a circle: A = (π/4) * d² (where d is the diameter of the circle)
    • Area of a circle inscribed in a square: A = π * (s/2)² (where s is the side length of the square)
    • Circumference of a circle inscribed in a square: C = π * s
    • Circumference of a circle circumscribed around a square: C = 4π * s

    Volume and Surface Area of Cuboids (3D Squares):

    • Volume (V): V = s³ (where s is the side length)
    • Surface Area (SA): SA = 6s²

    Applications of Square Calculator in Various Fields

    A Square Calculator, which helps calculate various properties of squares, finds applications in a wide range of fields and industries. Here are some common applications of a Square Calculator in various domains:

    1. Geometry and Mathematics:
      • Education: Used as an educational tool for teaching and learning about squares and their properties.
      • Problem Solving: Helps students and teachers solve geometry problems involving squares.
    2. Construction and Architecture:
      • Blueprints and Design: Calculates areas and dimensions of square-shaped rooms, tiles, and building components.
      • Flooring and Tiling: Assists in measuring and planning square footage for flooring and tiling projects.
    3. Real Estate:
      • Property Measurement: Calculates the area of square-shaped properties and land parcels for real estate assessments.
      • Floor Area: Helps calculate the square footage of residential and commercial properties for pricing and valuation.
    4. Engineering:
      • Structural Design: Assists in designing square-shaped structural components in civil engineering and architecture.
      • Machine Design: Calculates dimensions and areas for square machine parts and components.
    5. Manufacturing and Production:
      • Product Design: Supports product designers in designing square-shaped products and components.
      • Quality Control: Ensures accurate measurements of square-shaped parts in manufacturing processes.
    6. Education and Research:
      • Scientific Research: Provides calculations for researchers studying squares in various scientific fields.
      • Mathematical Analysis: Supports mathematical research involving squares and their properties.

    Benefits of Using the Square Calculator

    Using a Square Calculator offers several benefits in various fields and applications where calculations related to squares are necessary. Here are the key advantages of using a Square Calculator:

    1. Accuracy: Ensures precise calculations of square-related properties, including area, perimeter, and diagonal length, reducing the risk of errors in manual calculations.
    2. Efficiency: Saves time and effort by providing instant and accurate results, allowing users to focus on design, planning, and decision-making.
    3. Consistency: Promotes consistent and standardized calculations across different projects and industries, ensuring compatibility of data.
    4. Versatility: Adaptable to a wide range of fields, including mathematics, construction, real estate, engineering, and design, where squares are encountered.
    5. Educational Tool: Serves as an educational aid for students, teachers, and learners to understand and practice calculations related to squares in geometry and mathematics.
    6. Problem Solving: Facilitates problem-solving by quickly providing key information about square-shaped objects and areas, aiding in design, analysis, and decision-making.
    7. Cross-Disciplinary Use: Supports professionals and researchers in diverse disciplines, from architecture to agriculture, by providing accurate square-related calculations.
    8. Design and Planning: Assists in the design and planning phases of projects involving square-shaped components or spaces, ensuring efficient use of resources.
    9. Quality Control: Helps maintain quality control by ensuring accurate measurements and specifications for square-shaped parts and structures in manufacturing and construction processes.


    1. “Squaring the Circle: A Historical and Mathematical Quest” by The Mathematical Intelligencer
    2. “Magic Squares: From Ancient Puzzles to Modern Mathematics” by American Mathematical Monthly

    Last Updated : 27 February, 2024

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    15 thoughts on “Square Calculator”

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