Circle

class sknano.core.geometric_regions.Circle(center=None, r=1.0)

Bases: sknano.core.geometric_regions.Geometric2DRegion

Geometric2DRegion for a circle.

New in version 0.3.0.

Represents the bounded region with center \((h, k)\) and radius \(r\).

Parameters:

• center (array_like, optional) – Center point \((h, k)\) of circle.
• r (float, optional) – Radius \(r\) of circle.

Notes

Calling Circle with no parameters is equivalent to Circle(center=[0, 0], r=1.0).

Attributes

area	Circle area, \(A=\pi r^2\).
bounding_box	Bounding Cuboid.
center	Center point \((h, k)\) of circle.
centroid	Alias for center.
fmtstr	Format string.
measure	Alias for area, which is the measure of a 2D geometric region.
ndim	Return the dimensions.
pmax	Point at maximum extent.
pmin	Point at minimum extent.
r	Circle radius, \(r\).

Methods

center_centroid()	Center centroid on origin.
contains(point)	Test region membership of point in Circle.
get_points()	Return list of points from GeometricRegion.points and GeometricRegion.vectors
rotate(**kwargs)	Rotate GeometricRegion points and vectors.
todict()	Returns a dict of the Circle constructor parameters.
translate(t[, fix_anchor_points])	Translate GeometricRegion points and vectors by Vector t.

Attributes Summary

area	Circle area, \(A=\pi r^2\).
center	Center point \((h, k)\) of circle.
centroid	Alias for center.
r	Circle radius, \(r\).

Methods Summary

contains(point)	Test region membership of point in Circle.
todict()	Returns a dict of the Circle constructor parameters.

Attributes Documentation

area

Circle area, \(A=\pi r^2\).

center

Center point \((h, k)\) of circle.

centroid

Alias for center.

r

Circle radius, \(r\).

Methods Documentation

contains(point)

Test region membership of point in Circle.

Parameters:point (array_like) – Returns:True if point is within Circle, False otherwise. Return type:bool

Notes

A point \((p_x, p_y)\) is within the bounded region of a circle with center \((h, k)\) and radius \(r\) if the following is true:

\[(p_x - h)^2 + (p_y - k)^2 \le r^2\]

todict()

Returns a dict of the Circle constructor parameters.