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How to find the center of a circle

February 2, 2019 Different / Crafts / Crafts from wood 24 366 10

In the manufacture or processing of wood parts, in some cases it is necessary to determine where their geometric center is located. If the part has a square or rectangular shape, then this is not difficult to do. It is enough to connect the opposite corners with diagonals, which at the same time intersect exactly in the center of our figure.
For products that have the shape of a circle, this solution will not work, because they do not have angles, and therefore diagonals. In this case, some other approach based on different principles is needed.

And they exist, and in numerous variations. Some of them are quite complex and require several tools, others are easy to implement and to implement them you do not need a whole set of devices.
Now we’ll look at one of the easiest ways to find the center of a circle with just an ordinary ruler and pencil.

The sequence of finding the center of the circle:

1. To begin with, we need to recall that the chord is a straight line connecting two points of a circle and not passing through the center of the circle. It is not difficult to reproduce it: it is only necessary to put the ruler on the circle in any place so that it intersects the circle in two places, and draw a straight line with a pencil. The segment inside the circle will be the chord.
In principle, you can do with one chord, but to increase the accuracy of establishing the center of the circle, we will draw at least a pair, and even better - 3, 4 or 5 different chords in length. This will allow us to level out the errors of our constructions and more accurately cope with the task.

2. Next, using the same ruler, we find the middle of the chords reproduced by us. For example, if the total length of one chord is 28 cm, then its center will be at a point that is located in a straight line from the intersection of the chord with a circle by 14 cm.
Having determined in this way the centers of all the chords, draw perpendicular lines through them, using, for example, a right triangle.

3. If we now continue these straight lines perpendicular to the chords towards the center of the circle, then they intersect at about one point, which will be the desired center of the circle.

4. Having established the location of the center of our particular circle, we can use this fact for various purposes. So, if you place the leg of a joiner's compass at this point, you can draw an ideal circle, and then cut the circle using the appropriate cutting tool and the center point of the circle that we defined.

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Comments (10)

#1 Sergey Eliseev Guests February 2, 2019 17:18
2

Oh god What a challenge! It is immediately clear that the author has nothing to do with carpentry. There is a simple tool - a center finder. Made from an ordinary school triangle. Who cares, I can send a sketch.
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1. #2 Sergey, good afternoon. Guests March 1, 2019 18:42
  0
  
  I read your comment on the question of finding the center of the circle. You plow about the center finder from the triangle. I would be grateful for the sketch. Thank.
  
  To answer
#3 Guest Alexander Guests February 2, 2019 8:21 p.m.
0

It’s easier to build two inscribed right-angled triangles with a ruler and a pencil
hypotenuse-diameter, two diameters intersect in the center. All.
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#4 ANDREI Guests February 2, 2019 10:59 p.m.
0

Very difficult . There is an easier option. If a right triangle is placed in a circle, then the sernedine of the hypotenuse is the center.
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#5 Sektor Guests February 3, 2019 11:18
4

Yes, there is no way to do without higher mathematics.
And to pick up a roulette and find the largest diameter of the circle, does religion not allow anything? And draw a line. And then from the opposite side do the same. It will take a couple of minutes to do everything and the center is defined.
After all, on assignment you need to find a center in a circle? I'm not wrong?
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1. #6 Sektor Guests February 3, 2019 11:19
  0
  
  More precisely, not from the opposite side, and with a shift of 90 degrees, do the same operation.
  And then I have reported something to you.
  
  To answer
#7 Den Guests February 3, 2019 12:15
3

For comparison, here is another option for finding the center of a circle:
1. Set the ruler to the circle anywhere.
2. Circle both sides of the ruler with a pencil so that the lines intersect the circle in both directions.
3. Measure each of the two lines and mark their midpoints.
4. Draw a straight line in both directions through the found points until it crosses the circle line in two opposite places.
5. The middle of the line we received will be the desired center of our circle.
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#8 Guest Sergey Guests February 4, 2019 11:50
0

Roulette, ruler, etc. - looking for the largest size - this is the diameter. Further simply))
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#9 Alexander Lindeman Guests February 7, 2019 16:15
0

An empty tangle with these rectangles, center finders, rulers. The mustache, guys, is much simpler: with a compass (you can adjust the tape measure, or a ruler) with one size, you roughly draw the center of the circle from its three sides (you can take it - more than three sides). You get a kind of "triangle" of the outlined radii. For a more accurate definition of the center, repeat the operation, again drawing the radii from the "corners" of the "triangle" in the center of the circle to the center. Using this method, it is easy to find the geometric center even of an ellipse, or a circle of irregular shape. So, for example, if you need to find the center at the end face of a round billet of any irregular shape during turning.
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#10 SevaVsevolozhsk Guests March 1, 2019 3:52 p.m.
0

Very sophisticated. Diameter is the longest chord, pass and intersect exactly through the center. You put it firmly to a point on the circle and look for the maximum length of the segment on the opposite side of your point. Draw a line. This is the first diameter. Then you take it and from the other place you do the same thing, this is the second diameter, they intersect exactly in the center. Not sure? Well, do the third, make sure 200%. All.
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