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# Python | Sympy Circle () method

In Simpy, the ` Circle () ` function is used to create a circle from a center and a radius, from three non-collinear points, or the equation of a circle.

Syntax: `Circle()`

Parameters:
center : Point and
radius : number or sympy expression or
points : sequence of three Points or
equation : equation of a circle

Error: Raises GeometryError When the given equation is not that of a circle. When trying to construct circle from incorrect parameters.

Example # 1: Using center and radius

` `

` # import of sympy and geometry module from sympy.geometry import Point, Circle   # using Circle () c1 = Circle (Point ( 0 , 0 ), 5 )   print (c1.hradius, c1. vradius, c1.radius) `

Output:

` (5, 5, 5) `

Example # 2: Using a three-dot sequence

 ` # import sympy and geometry module ` ` from ` ` sympy.geometry ` ` import ` ` Point, Circle `   ` # using Circle () ` ` c2 ` ` = ` ` Circle (Point (` ` 0 ` `, ` ` 0 ` `), Point (` ` 1 ` `, ` ` 1 ` `), Point (` ` 1 ` < code class = "plain">, ` 0 ` `)) `   ` print ` ` (c2.hradius, c2.vradius, c2.radius) `

Output:

` ( sqrt (2) / 2,  sqrt (2) / 2,  sqrt (2) / 2) `

Example # 3: Using the Circle Equation

 ` # import of symposium and geometry module ` ` from ` ` sympy.geometry ` ` import ` ` Point, Circle ` ` from ` ` sympy ` ` import ` ` Eq `     # using Circle () ` c3 ` ` = ` ` Circle (x ` ` * ` ` * ` ` 2 ` ` + ` ` y ` ` * ` ` * ` ` 2 ` ` - ` ` 25 ` `) ` ` `  ` print ` ` (c3) `

Exit :

` Circle (Point2D (0, 0), 5) `

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