# Find the perimeter of a square

A square is a quadrangle in which all sides are equal and the angles between the sides are also equal. All corners of the square are straight. There are several ways to find the perimeter of a square, it all depends on what initial data are known.

Find the perimeter of a square knowing its side

Formula for finding the perimeter of a square across a side: **$P=a$**, where a is the side of the square

**Side of a square**

Find the perimeter of a square knowing its diagonal

Formula for finding the perimeter of a square through the diagonal: **P=2d√****2** Where d is the diagonal of the square.

**Diagonal of a square**

Find the perimeter of a square knowing its area

Formula for finding the perimeter of a square in terms of area: **P=4√S** , where s is the area of the square.

**Square area**

Find the perimeter of a square through the radius of the circumscribed circle

Formula for finding the perimeter of a square in terms of the radius of the circumscribed circle: **P=4R√2** , Where R is the radius of the circumscribed circle.

**Circle radius**

Find the perimeter of a square through the radius of the inscribed circle

Formula for finding the perimeter of a square in terms of the radius of the inscribed circle: **P=8R** , where R is the radius of the inscribed circle.

**Inscribed circle radius**