Cody

Problem 54020. Circle Division

  • Created by HH
A circle can be divided into 2 sections, by placing 2 points in arbitrary locations along its circumference and drawing a straight line between them. By adding more points and drawing a straight line from each point to every other point, the circle can be divided into more sections. For example, 3 points would divide the circle into 4 sections and 4 points into 8 sections.
Given a positive integer, n, representing the number of arbitrarily placed points on the circumference of a circle, return d, i and s, the number of straight lines, the number of intersections and the number of sections into which the circle is divided, respectively.
The only restriction on the positions of the points is that they must be placed such that no 3 lines can share a single intersection.
n will always be greater than 3.
Example:
n = 4;
d = 6
i = 1
s = 8
Example:
n = 5;
d = 10
i = 5
s = 16
Solve

Solution Stats

56.25% Correct | 43.75% Incorrect
Last Solution submitted on Oct 09, 2022

Solution Comments

Show comments

Problem Recent Solvers7

Suggested Problems

More from this Author45

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!