Python | Sympy encloses_point() method

Namachila October 19, 2025

0 1 1 minute read

In sympy, the function encloses_point() is used to check whether the given point is encolsed by given ellipse or not.

Syntax: Ellipse.encloses_point(point)

Return: True:if point is enclosed by ellipse, otherwise False.

Example #1:

# import sympy and geometry module  
from sympy import * 
from sympy.geometry import * 
  
x = Point(0, 0)  
  
# making ellipse with given point as center and radii 
e1 = Ellipse(x, 3, 2) 
  
# using encloses_point() method 
isEnclosed = e1.encloses_point((0, 0)) 
  
print(isEnclosed) 
  

Output:

True

Example #2:

# import sympy and geometry module  
from sympy import * 
from sympy.geometry import * 
  
x = Point(3, 1)  
  
# making ellipse with given point as center, hradius and eccentricity 
e2 = Ellipse(x, hradius = 3, eccentricity = Rational(4, 5)) 
  
# using encloses_point() method 
isEnclosed = e2.encloses_point((4, 6)) 
  
print(isEnclosed) 
  