Watch 10 video solutions for Generate Random Point in a Circle, a medium level problem involving Math, Geometry, Rejection Sampling. This walkthrough by nubDotDev has 469,801 views views. Want to try solving it yourself? Practice on FleetCode or read the detailed text solution.
Given the radius and the position of the center of a circle, implement the function randPoint which generates a uniform random point inside the circle.
Implement the Solution class:
Solution(double radius, double x_center, double y_center) initializes the object with the radius of the circle radius and the position of the center (x_center, y_center).randPoint() returns a random point inside the circle. A point on the circumference of the circle is considered to be in the circle. The answer is returned as an array [x, y].
Example 1:
Input ["Solution", "randPoint", "randPoint", "randPoint"] [[1.0, 0.0, 0.0], [], [], []] Output [null, [-0.02493, -0.38077], [0.82314, 0.38945], [0.36572, 0.17248]] Explanation Solution solution = new Solution(1.0, 0.0, 0.0); solution.randPoint(); // return [-0.02493, -0.38077] solution.randPoint(); // return [0.82314, 0.38945] solution.randPoint(); // return [0.36572, 0.17248]
Constraints:
0 < radius <= 108-107 <= x_center, y_center <= 1073 * 104 calls will be made to randPoint.