Problem 44910. Find the centre of an arc and its radius

Created by Reece Blunt

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Given two points on an arc (x0,y0) and (x1,y1) and the angle between them, alpha.
Return the centre of the circle and the radius.
E.g. Start (1,0) End (0,1) Span 90
The centre is (0,0) and the radius is 1.

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36 Solutions
14 Solvers

Last Solution submitted on Aug 15, 2023

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3 Comments

Rafael S.T. Vieira on 31 Oct 2020

This problem does not have an unique solution. Unless the angle between two points on an arc is 180 degrees, there is always two possible positions for the center. The problem should specifiy which is the right one, or accept both answers. I solved it using the center with the smallest distance to the origin.

Dyuman Joshi on 7 Feb 2022

The test suite has been updated to accept any of the two possible solutions.

Christian Schröder on 1 May 2023

The test suite does not use the values returned by the function.

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Problem 44910. Find the centre of an arc and its radius

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Last 200 Solutions

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Problem Recent Solvers14

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Problem 44910. Find the centre of an arc and its radius

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers14

Suggested Problems

More from this Author1

Problem Tags

Community Treasure Hunt

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