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Square Area Calculator

Calculate the area of a square by multiplying the side length by itself. Includes the formula, a worked example, and reference sizes for rooms, land plots and tiles.


Calculate area of square

Formula

textarea=a2\\text{area} = a^2

Where a is the length of one side.

Worked example

Calculate the area of a square with side length 7 cm:

textarea=72=49textcm2\\text{area} = 7^2 = 49 \\text{ cm}^2

Result: 49 cm²

How to use

  1. Enter the side length
  2. Click "Calculate" to see the area

Related formulas

  • Perimeter: 4a4a
  • Diagonal: asqrt2a\\sqrt{2}
  • Area from diagonal: fracd22\\frac{d^2}{2}

Square properties

  • All four sides are equal
  • All four angles are 90°
  • Diagonals are equal and bisect each other at 90°
  • A square is both a rectangle and a rhombus

Common use cases

  • Land measurement
  • Tiling and flooring
  • Graphics and design
  • Construction
  • Mathematics education

FAQ

Is a square a rectangle? Yes, a square is a special type of rectangle where all sides are equal.

Is a square a rhombus? Yes, a square is a special type of rhombus where all angles are 90°.

How do I find the side from the area? a=sqrttextareaa = \\sqrt{\\text{area}}

What is the perimeter of a 10 cm square? 4 × 10 = 40 cm.

Can I inscribe a circle in a square? Yes, the circle touches all four sides. Diameter = side length.

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