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
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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
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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 |
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