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Square

A square is a quadrilateral having four sides of equal length. All its four angles are 900.Square with right angles


A square with the vertices (corners) A,B,C and D is usually written this way:

◻ABCD

The area of a square

The area of a square is given by the formula:

A=a^2

where a is the side length.

A square is the quadrilateral having the greatest area in relation to its circumference.

The circumference of a square

The circumference of a square is given by the formula:

C=4*a

where a is the side length.

Calculate area and circumference of a square

Side length (a): 

The inscribed circle

The inscribed circle of a square is a circle, the periphery of which touches all four sides of the square but never crosses to the outside of the square. The area of the inscribed circle is given by:

A=a*frac{pi}{4}

The circumscribed circle

The circumscribed circle of a square is a circle, the periphery of which touches all four vertices of the square but never crosses to the inside of the square. The area of the circumscribed circle is given by:

A=a*frac{pi}{2}