Area of a Square
Space enclosed by a square.
Live Calculator
MembersVariables
Example
a = 5 → A = 25
How it works
A square has four equal sides, so its area can be found by multiplying the side length by itself. This works because the area of a rectangle is length × width, and a square is just a rectangle with equal length and width. So if one side is a units long, the number of square units inside is a × a = a^2.
When to use it
Use this formula whenever you need the area of a square shape, such as for floor tiles, garden plots, or square pieces of paper. It is also useful in geometry problems where only one side length is given.
Worked example, step by step
Side length: a = 8 cm Use the formula: A = a^2 Substitute the value: A = 8^2 Calculate: A = 64 Final answer: 64 cm^2
Common mistakes to avoid
- Adding the side length instead of squaring it
- Forgetting to include square units in the answer
- Using the formula for a square when the shape is actually a rectangle
Did You Know?
Squaring a number literally means finding the area of a square — that's where the name comes from.
Share this formula
More in Geometry & Trigonometry
View allPythagorean Theorem
BasicRelates the sides of a right triangle.
Area of a Circle
BasicThe area enclosed by a circle.
Circumference of a Circle
BasicThe perimeter (boundary length) of a circle.
Equation of a Circle
IntermediateThe standard form of the equation of a circle with centre (h, k) and radius r.
Area of a Rectangle
BasicArea of a rectangle.
Area of a Triangle
BasicArea of a triangle from base and height.