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Math

Square Calculator

Instantly find area, perimeter, and diagonal from any side length

Square Calculator

Results

Area

25

Perimeter

20

m

Diagonal

7.071068

m

Formulas used

Area = s²Perimeter = 4sDiagonal = s√2

where s = side length = 5 m

Visual Reference

s = 5 msd

Quick Reference

AreaThe space enclosed inside the square. Measured in square units (e.g. m²).
PerimeterThe total length of all four sides. Since all sides are equal, P = 4 × s.
DiagonalThe line connecting two opposite corners. By the Pythagorean theorem, d = s√2 ≈ 1.414 × s.
About

Use this free square calculator to instantly compute the area, perimeter, and diagonal of any square from its side length. Supports multiple units including millimeters, centimeters, meters, inches, feet, and yards. Whether you are planning a room layout, a garden plot, or solving a geometry problem, this tool delivers accurate results with the formulas shown.

FAQ
How do you calculate the area of a square?+

The area of a square equals the side length multiplied by itself: Area = s². For example, a square with a side of 5 m has an area of 25 m².

What is the formula for the diagonal of a square?+

The diagonal of a square is found using the Pythagorean theorem: d = s × √2, where s is the side length. This gives approximately 1.4142 times the side length.

How is the perimeter of a square calculated?+

Since all four sides of a square are equal, the perimeter is simply 4 × s. A square with a side of 3 ft has a perimeter of 12 ft.

Can I use different units with this calculator?+

Yes. This calculator supports millimeters, centimeters, meters, kilometers, inches, feet, and yards. Select your preferred unit from the dropdown before entering the side length.

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