Practice Generate Random Point in a Circle
Master the Generate Random Point in a Circle LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Generate Random Point in a Circle
Solution(radius,x_center,y_center) describes a circle. randPoint() returns [x,y] uniformly by area inside it, including its boundary. Practice approach: Draw a uniform angle and an independent uniform U in [0,1), then use radius * sqrt(U) as the distance from the center. The square root compensates for the larger area at greater radii. Sampling radius uniformly would overconcentrate points near the center. Rejection sampling from the surrounding square is another valid construction. Check that squared distance never exceeds radius squared.
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Understanding the Generate Random Point in a Circle Problem
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Problem Statement
Solution(radius,x_center,y_center) describes a circle. randPoint() returns [x,y] uniformly by area inside it, including its boundary. Practice approach: Draw a uniform angle and an independent uniform U in [0,1), then use radius * sqrt(U) as the distance from the center. The square root compensates for the larger area at greater radii. Sampling radius uniformly would overconcentrate points near the center. Rejection sampling from the surrounding square is another valid construction. Check that squared distance never exceeds radius squared.
Source: Generate Random Point in a Circle on LeetCode. Use the original task for its coding environment and submissions.
Generate Random Point in a Circle
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Examples
# Example 1
["Solution","randPoint","randPoint"] [[2,3,4],[],[]]
[null,[3.5,4.5],[2.2,3.4]]
These are illustrative possible points, not fixed outputs. Their squared distances from (3,4) are 0.5 and 1, both below radius squared 4.
Constraints
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