702677. Regular polygon-1
Easy
Regular Polygon-1
Summary
The problem involves creating a regular polygon with n sides, where each side has an equal length. The key concepts involved are arrays and data structures.
Detailed Explanation
To create a regular polygon, we need to calculate the length of each side based on the number of sides (n) and the radius of the circumscribed circle. We can use the formula: side_length = 2 * math.pi * radius / n.
Here's a step-by-step breakdown of the solution:
- Calculate the circumference of the circumscribed circle using the formula
circumference = 2 * math.pi * radius. - Divide the circumference by the number of sides (n) to get the length of each side:
side_length = circumference / n. - Return the calculated side length.
Time complexity: O(1) Space complexity: O(1)
Here's an ASCII art diagram representing a regular polygon with 5 sides:
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Optimized Solutions
Java
public class RegularPolygon {
public static double calculateSideLength(int n, double radius) {
return 2 * Math.PI * radius / n;
}
}