Square Area & Perimeter Calculator
Square Area & Perimeter Calculator
A square is a rectangle with all four sides equal - the simplest 2D shape to measure, since one number determines everything else. Enter the side length, and this calculator finds the area, perimeter, and diagonal (the line connecting opposite corners), along with a diagram and the full step-by-step working.
- Area = a², so a square with a 6-unit side has an area of 6² = 36 square units.
- Perimeter = 4a, since all four sides are equal - a 6-unit square has a perimeter of 4 × 6 = 24 units.
- Diagonal = a√2, found via the Pythagorean theorem (a² + a² = d²) - a 6-unit square has a diagonal of 6√2 ≈ 8.49 units.
How do I find the area of a square?
Square the side length: Area = a². A square with side 6 has an area of 6² = 36.
How do I find a square's diagonal?
Use Diagonal = a√2. A square with side 6 has a diagonal of 6 × √2 ≈ 8.49 - this comes from applying the Pythagorean theorem to the two equal sides.
Square Area & Perimeter Calculator
A square is a rectangle with all four sides equal - the simplest 2D shape to measure, since one number determines everything else. Enter the side length, and this calculator finds the area, perimeter, and diagonal (the line connecting opposite corners), along with a diagram and the full step-by-step working.
- Area = a², so a square with a 6-unit side has an area of 6² = 36 square units.
- Perimeter = 4a, since all four sides are equal - a 6-unit square has a perimeter of 4 × 6 = 24 units.
- Diagonal = a√2, found via the Pythagorean theorem (a² + a² = d²) - a 6-unit square has a diagonal of 6√2 ≈ 8.49 units.
How do I find the area of a square?
Square the side length: Area = a². A square with side 6 has an area of 6² = 36.
How do I find a square's diagonal?
Use Diagonal = a√2. A square with side 6 has a diagonal of 6 × √2 ≈ 8.49 - this comes from applying the Pythagorean theorem to the two equal sides.