Area of a Square Formula
Geometry Formulas: Area, Volume, Perimeter
What is the formula for the area of a square?
Answer
Area of a square
A = a²
Here a is the side (or base). The result comes out in square units.
Where the formula comes from
A = a²
A square is a rectangle whose two sides are equal, so a · b becomes a · a. Nothing else changes.
Worked examples
Let a = 7. Then the area of a square = 49 square units.
Let a = 2.5. Then the area of a square = 6.25 square units.
The common mistake
Confusing a² with 2a. Squaring is a side times a side, not a side doubled: for a = 7 the area is 49, not 14.
Other quantities: Square
Related Calculations
See Also
- Square Footage Calculator - Width × length in feet to square feet
- Square Feet to Square Meters (Sq Ft to Sq M) - Convert Square Feet to Square Meters
- Square Meters to Square Feet (Sq M to Sq Ft) - Convert Square Meters to Square Feet
- Gravel Calculator - Area to cubic yards, tons and coverage
- Topsoil Calculator - Cubic yards, weight and coverage for any area
- Multiplication Facts - Any two numbers from 1 to 9, with the working shown
Geometry Formulas: Area, Volume, Perimeter
These are the formulas for the area, perimeter, circumference, volume and surface area of the standard shapes — 31 of them. Each page shows not only the formula but where it comes from, what every letter stands for, two worked examples and the mistake that this particular shape invites. For example, it can help you find out what is the formula for the area of a square? (The answer is: A = a²). Pick the pair — "Area of a circle", for instance — and hit the "Find out" button.
Geometry Formulas: Area, Volume, Perimeter
Values from the Formula
| If a = | Area |
|---|---|
| 1 | 1 square unit |
| 2 | 4 square units |
| 3 | 9 square units |
| 4 | 16 square units |
| 5 | 25 square units |
| 10 | 100 square units |
FAQ
What is the formula for the area of a square?
Area of a square A = a²
Where does this formula come from?
A square is a rectangle whose two sides are equal, so a · b becomes a · a. Nothing else changes.
What is the most common mistake here?
Confusing a² with 2a. Squaring is a side times a side, not a side doubled: for a = 7 the area is 49, not 14.
How do I use this formula?
Put your own numbers in place of the letters. With a = 2.5, for instance, the formula A = a² gives = 6.25 square units.
See Also
- Area of a Circle Formula
- Area of a Hexagon Formula
- Area of a Parallelogram Formula
- Area of a Regular Polygon Formula
- Area of a Rectangle Formula
- Area of a Rhombus Formula
- Area of a Circular Sector Formula
- Area of a Trapezoid Formula
- Area of a Triangle Formula
- Circumference of a Circle Formula
- Diameter of a Circle Formula
- Perimeter of a Regular Polygon Formula
- Perimeter of a Rectangle Formula
- Perimeter of a Semicircle Formula
- Perimeter of a Square Formula
- Perimeter of a Triangle Formula
- Surface Area of a Cone Formula
- Площадь квадрата
- Área del cuadrado
- Área do quadrado