text: '''
  
  Description:
  
  Given the radius and x-y positions of the center of a circle, write a function randPoint which generates a uniform random point in the circle.
  
  Note:
  
  input and output values are in floating-point.
  radius and x-y position of the center of the circle is passed into the class constructor.
  a point on the circumference of the circle is considered to be in the circle.
  randPoint returns a size 2 array containing x-position and y-position of the random point, in that order.
  
  
  
  Example 1:
  
  Input: 
  ["Solution","randPoint","randPoint","randPoint"]
  [[1,0,0],[],[],[]]
  Output: [null,[-0.72939,-0.65505],[-0.78502,-0.28626],[-0.83119,-0.19803]]
  
  
  
  Example 2:
  
  Input: 
  ["Solution","randPoint","randPoint","randPoint"]
  [[10,5,-7.5],[],[],[]]
  Output: [null,[11.52438,-8.33273],[2.46992,-16.21705],[11.13430,-12.42337]]
  Explanation of Input Syntax:
  
  The input is two lists: the subroutines called and their arguments. Solution's constructor has three arguments, the radius, x-position of the center, and y-position of the center of the circle. randPoint has no arguments. Arguments are always wrapped with a list, even if there aren't any.
  
  '''
  
  from typing import List
  from random import random, seed
  from math import pi, cos, sin, sqrt
  
  class Solution:
  
      def __init__(self, radius: float, x_center: float, y_center: float):
  
          self._x_center = x_center
          self._y_center = y_center
          self._r = radius
  
          # Initialize random seed with system time
          seed()
  
      
      def randPoint(self) -> List[float]:
  
          # random theta from 0 to 2 * pi
          rand_theta = random() * 2 * pi
  
          # random radis from 0 to R
          rand_radius = sqrt( random() ) * self._r
  
          # compute random point based on polar coordination
          rand_x_coord = rand_radius * cos( rand_theta ) + self._x_center
          rand_y_coord = rand_radius * sin( rand_theta ) + self._y_center
  
          return [rand_x_coord, rand_y_coord]
  
  
  # Because this is a problem of randomness, therefore local testbench is not provided
  
  # Your Solution object will be instantiated and called as such:
  # obj = Solution(radius, x_center, y_center)
  # param_1 = obj.randPoint()