Circle

Circle attracts because of its symmetrical joint,

It is equidistant from a fixed point.

Euclid's Element was the finest creation of geometry,

A line passing through the centre is called the line of symmetry.

The width of the circle is called its diameter,

Half of the diameter is the radius, which is a useful parameter.

A circle divides its plane into three parts,

Drawing it from three points is an interesting start.

Try to fix the ratio of the area of a circle to a radius square,

The ratio of perimeter and diameter is also our ancient desire.

A tangent touches the circle at a unique point,

The radius and tangent perpendicularly meet at this unique joint.

Tangents drawn from an external point of the circle are equal,

They are adjacent sides of a cyclic quadrilateral.

To fit a circle in a square is an ancient quadrature problem,

It shows π irrationality and is useful in many theorems.

The chord and curve of the circle cover the segment area,

The radius and curve of a circle decide the sector's criteria.