All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Location, location, location (Posted on 2015-03-12) Difficulty: 3 of 5
You are given a drawing of a circle,

Find the location of its center, using a compass only.

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts To answer the question... | Comment 1 of 8

The following procedure is sufficient to locate the centre of the circle, which is what is asked for.

Set the point of the compass at any point, X, on the edge of the original circle C1, and draw another smaller circle, X1. Repeat the exercise with the point of the compass at one intersection of the two circles, and the pencil end starting at X, the centre of X1.

By construction, these two circles are of equal size and their two points of intersection DE are on a line that is a diameter of C1.

Repeat the same exercise with two more smaller circles on some other point on C1, to generate points of intersection  F and G. Lines DE and FG are both diameters of C1, so they intersect at its centre.

Constructing circles that pass through the centre of C1 is also possible but is a bit more complicated.


  Posted by broll on 2015-03-12 12:45:01
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information