Square Area Calculator

About Square Area Calculator

A square has all sides equal. Area = s², perimeter = 4s, diagonal = s√2.

How to use this calculator

1. Enter the side length of the square.
2. Read the area, perimeter, and diagonal results.
3. Use the formulas to check or estimate the answer yourself.

The formula explained

• \(s\) = side length of the square
• \(\text{Area}\) = space inside the square
• \(\text{Perimeter}\) = total distance around the square
• \(\text{Diagonal}\) = distance from one corner to the opposite corner

Step by step method

1. Identify the side length and make sure it uses one unit, such as cm or m.
2. Square the side length to get the area.
3. Multiply the side length by 4 to get the perimeter.
4. Multiply the side length by the square root of 2 to get the diagonal.

Worked example

Suppose a square has a side length of 5 cm.

1. Area: \(5^2 = 25\), so the area is 25 square cm.
2. Perimeter: \(4 \times 5 = 20\), so the perimeter is 20 cm.
3. Diagonal: \(5\sqrt{2} \approx 7.07\), so the diagonal is about 7.07 cm.

Tips and common mistakes

• Use the same unit for all results, but remember area is in square units.
• The diagonal is longer than the side and shorter than the perimeter.
• If your side length has decimals, the calculator can still work accurately.
• Check that the input is a square side, not a radius or area.

Frequently asked questions