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A Square is a 4-sided regular polygon with all sides equal and all internal angles 90 degree. It is a four sided polygon characterized by right angles and sides of equal length.

Square Calculator

Formula

**Area of square:** [(side)²]

**Perimeter of square:** [4(side)]

**Diagonal of square:** [(side) (sqrt(2))]

**Related Article:** A square can also be defined as a rectangle with all sides equal, or a rhombus with all angles equal, or a parallelogram with equal diagonals that bisect each other.

- The diagonals of a square bisect each other and meet at 90 degrees
- The diagonals of a square bisect its angles.
- The diagonals of a square are perpendicular.
- Opposite sides of a square are both parallel and equal lengths.
- All four angles of a square are equal. (Each is 360°/4 = 90 degrees, so every angle of a square is a right angle.)
- The diagonals of a square are equal.

**Example**

Calculate the Area, Perimeter and Diagonal of a Square whose length is 10 cm.

**Solution:**

**Apply Formula:**

**Step1: **Area of square: [(side)²]

Area of square = 102 = **100**

**Step 2: **Perimeter of square: [4(side)]

Perimeter of square=4*10 = **40**

**Step 3: **Diagonal of square: [(side) (sqrt(2)) ]

Diagonal of square=10 * sqrt(2) =10*1.41 = **14.1**