What is the sum of the square angles

Square: properties, types, formulas, etc.

You can get an overview of the square here. Let's look at this:

  • A Explanation to properties, formulas, angles of the rectangle and more.
  • Examples to different types of quadrilaterals.
  • Tasks / exercises so that you can practice this yourself.
  • A Video to the square.
  • A Question and answer area to this topic.

Tip: You should know what centimeters and meters are. If you have no idea about this, please look into converting units of length.

Explanation: square types and properties

Let's look at a definition of the square:


A square is a flat figure that is enclosed by four lines. These four lines represent the sides of the square. If two sides meet, this results in a corner point.

Quadrilaterals can look very different. The next graphic shows one possibility for a square:

Square properties:

  • The square has four sides, which are usually designated with the small letters a, b, c and d.
  • There are four corners: Large letters A, B, C and D are often used at the corners.
  • In addition, there are four angles: alpha (α), beta (β), gamma (γ) and delta (δ).
  • Two diagonals: Two diagonals can be drawn, here denoted by e and f.
    • If both diagonals are in a square, the square is called convex.
    • If there is at least one diagonal outside, the square is called concave.

Formulas general rectangle:

There are two general formulas that one should know about the square. First of all, this is the circumference of a square. This is obtained by adding the lengths of all sides. There are also the interior angles. If you add the four interior angles together, you always get 360 degrees.

Formula perimeter square:

Formula interior angle square:

In the next section we will look at different types or types of rectangles.


Square types, examples with formulas

What are the different types of rectangles? Quadrilaterals that are often discussed are square, rectangle, rhombus, parallelogram, trapezoid and dragon square. There are many more squares, but these are often discussed. So let's take a look at these here.


A square is a rectangle with all four sides of the same length. There are four angles of 90 degrees each. The circumference of a square is obtained with U = 4a. The area or area is obtained with A = a2. More explanations and examples with numbers and units can be found under Square: Properties and Formulas.


In the case of a rectangle, the respective opposite sides are the same length. There are four corners. All angles are 90 degrees. The circumference of a rectangle is obtained with the formula U = 2a + 2b. The area results from A = a · b. You can find more explanations and examples under Rectangle: Properties and Formulas.


If a square has four sides of equal length, it is also known as a diamond (or rhombus). The circumference of a diamond is calculated with U = 4a. For example, a diamond can look like this:


In a parallelogram, two sides are parallel to each other. A = c and b = d therefore apply to the side lengths. The circumference can either be calculated as the sum of all sides with U = a + b + c + d or with U = 2a + 2b.


In mathematics, a trapezoid is a flat square with two sides that are parallel to each other. In the next graphic, a and c are parallel. The scope results from the sum of the individual pages. This leads us to U = a + b + c + d.

Dragon square:

A dragon square is a square with two pairs of adjacent sides of equal length. In the next graphic, a and b as well as c and d are of the same length. The scope results from the sum of all four sides.

Exercises / tasks square


Video square

Formulas and Examples

The square topic is covered in the next video. These are the topics:

  • Square: angles, sides, definitions
  • Perimeter and sum of angles square
  • Convex and concave squares
  • Different types of squares

Next video »

Questions with answers about the square

This section deals with typical questions with answers about the square.

Q: When is the square topic discussed in school?

A: The square topic is addressed at least once briefly in elementary school. This is often a rectangle or a square. In the 5th or 6th grade, the square is discussed much more intensively. This also includes different types of quadrilaterals.

Q: What topics should I look at next?

A: In the 6th grade (sometimes even in the 5th grade), for example, these topics are still on the agenda in geometry: