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How to calculate the radius and draw a circle without a compass.

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Good afternoon, dear beginning self-taught seamstresses. Today I decided to write an article that will help us in the future to cut children's panama hats, adult beach hats, as well as a circle skirt, and of course flounces. As you guessed, we are talking about the ability to calculate the radius of a circle and be able to draw it without a compass. Because it is quite possible that we will need to draw circles of a size for which compasses are not sold. And not everyone has a compass at home.

So, the following is on the agenda:

• Calculation of the radius of a circle for a Panama hat, flounce and circle skirt.
• Three ways to draw a circle without a compass.

HOW TO CALCULATE THE RADIUS OF A CIRCLE.

What is it for, this radius calculation? To draw a circle, we need to know radius this circle - that is, the distance from one leg of the compass to the other.

Let’s say we need to draw the circumference of the bottom of a Panama hat, and all we know is the circumference of the child’s head. How wide should the legs of the compass be spread in order to ultimately obtain a circumference that matches the size of the baby’s head?

Or we need to draw the circumference of a circle skirt, knowing only that the circumference should perfectly match the circumference of our waist.

Now, so that everything is extremely clear and understandable, Let's look at 2 specific cases that are most often encountered in the work of seamstresses.

This is the calculation of the radius of the bottom of a Panama hat. And calculation of the radius on the circle skirt pattern.

So, let's go...

I beautifully painted this story in pictures directly with the text-reasoning. So that the whole sequence of brain work is clear.)))

Means, to find out the radius, we need to divide our circumference of the baby’s head by 6.28.

Let's take it mobile phone, we find a calculator in it and divide our 42 cm head circumference by 6.28 - we get 6.68 cm = that is, 6 cm and 6 mm. This is the radius.

This means that we need to move the legs of the compass apart to a distance of 6 cm 6 mm. And then the circle we drew will be equal to 42 cm - that is, it will lie evenly on the child’s head (just don’t forget to weigh it down by retreating 1 cm for seam allowances).

Situation two - you need to draw the circle of the circle skirt. All we know is the waist circumference and the length of the skirt that we ultimately want to get.

In the drawing of the sun skirt there are 2 circles. The small one (inner) should lie flat on our waist. That is, the length of this circumference should coincide with the waist circumference. The waist circumference is 70 cm, which means the circumference should be 70 cm (well, maybe there are all sorts of centimeters here and there in the form of a seam allowance, or some other additional trim in the form of a belt or yoke)

This means we need to find out what radius to draw the circle so that the resulting circle is the length we need 70 cm.

In the picture below I have described everything and how to calculate the radius of a small circle and how to then find out the radius of a large circle.

And when a small circle is drawn. All we need is to add the desired length of the skirt to the small radius - and we get a large radius for the large circumference of the skirt edge.

Now we've sorted out the calculations. We will sew skirts and hats - I will send you to this article.

Now let's figure out how to draw a circle of any size without a compass.

HOW TO DRAW A CIRCLE WITHOUT COMPASSES.

Here below I have illustrated three methods with three pictures. I hope that everything is clearly drawn and written.

Yes it is quick way- but you need to make sure that the pencils do not move to the side. We change the angle of the pencil's radius. Or it is necessary for one person to hold one pencil exactly, and the other to draw exactly perpendicularly with a second pencil.

In general, the lower the thread is tied, the more accurate the circle will be. That's why some people use small pins. The error when the pin is tilted to the side is small, and can be neglected when sewing.

And yet, the surest way to draw an exact circle without a compass is with the help of an ordinary ruler and pencil. This is what it looks like:

And then in a circle, we move the centimeter (like the hour hand on a watch) and mark points at the same distance - that is, on the same number of the centimeter tape. Instead of tape, you can use string with a mark on it - the main thing is to make sure that the string does not stretch at all.

Well, that’s all - another gap in knowledge has been eliminated - now you can swing both a circle skirt and a Panama hat - we know how to calculate radii. Maybe there will be more! Soon you and I will become so wiser that we will take on the most difficult tasks without fear. complex models. I’ll also tell you about the flounces and the base pattern - yes, we’ll draw you a real adult pattern-base in 30 minutes - and as they say, off we go... we’ll sew everything)))). And not only.

Olga Klishevskaya, especially for the “Women’s Conversations” website.

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Knowing how to create a circle is not a life skill. And yet, sometimes you need to know how to draw a circle when you don’t have a compass or some kind of round object at hand. Therefore, methods for drawing different circles will be proposed below.

An even circle - what to do if there is no compass

It is useful for everyone to know how to draw a circle without a compass. Usually this item is not at hand. A student who has left the necessary drawing tools at home and has a scheduled lesson may find himself in this situation. Or an adult who, for some reason, urgently needs to portray smooth circle. What to do in these situations? For example, schoolchildren can replace a missing accessory with a protractor, which is often found in a pencil case. Just attach it to a piece of paper, find the center on the straight part and put a dot. This place is considered the center of the circle. Then you need to trace a semicircle along the inside, rotate the protractor 90° and carefully draw another third of the circle. After this, repeat the rotation of the tool again and finish drawing the rest of the figure.

If you have not been a student for a long time, which means you do not have a pencil case with drawing tools at hand, then you can correct the situation with the help of a CD. With it it is easy to create a figure as small in size (if you circle inner part disk), and large (if you circle the outer part of the disk). For office workers in a similar situation, a glass used for water will help. Just place it on paper and draw along the bottom contour with a pencil. Thus, we are convinced that it is possible to draw a circle without a compass, using improvised objects for this.

Ways to draw circles without using additional objects

How to draw a circle if you don’t have drawing tools or other auxiliary things at hand? Everything is not as complicated as it seems at first glance. Place and fix one hand on the paper, while making sure that the little finger is the center of the planned circle. With your other hand, twist the sheet and see that you get an even circle. Draw a pencil along the resulting contour. To draw a circle with a larger diameter, you need to bend your little finger, as if you are trying to clench a fist. Next, the procedure is repeated, as with a smaller circle, twist the sheet and draw the boundaries of the circle. If you need to create an even larger circle, then position your hand so that it touches the wrist bone to the sheet. It is recommended to use soft pencils for drawing circles.

These methods are considered easy and simple. They help out when you don't have a compass at hand. The main thing is to be able to hold your hand straight and so that it does not move.

Draw a circle using a ruler

For those who have a ruler at hand, the following method of creating a circle will be useful. You need to attach a ruler to a sheet of paper; at this point there will be the center of the circle. Place another mark next to the number indicating the radius. Then you need to place the third point; to do this, slightly move the edge of the drawing tool, but so that the 0th mark remains in place, and place a notch above the second mark.

Repeat these steps until you end up with a circle. It will consist of dotted lines. The more small lines there are, the easier it is to draw a straight line. This easy way, but quite long.

You have learned how to sharpen a pencil properly and draw straight lines across the entire sheet without a ruler, but there is a problem with circles. What to do? We will master the science of how to draw a circle by hand. Science, on the one hand, is simple, since to master it you only need a sheet of paper and a simple pencil. However, it's not that simple. As with any unfamiliar undertaking, diligence and patience are required.

The simplest method

Let's start with the simplest method. Just a disclaimer: this method is only suitable if the circle has a radius no greater than the length of our sharp-nosed assistant. The essence of the method is to transform the hand into a compass:

1. We put a dot on the paper, indicating the center of the future circle;
2. We take the pencil with the index finger and thumb, gripping from above, at a radius distance from the tip, so that the rest of it rests on the back of the palm, opposite thumb;
3. Place the middle finger, pressed tightly against the index finger, at the intended point. Always make sure that it does not move from this point!
4. We rest the tip of the pointed nose against the paper and begin to smoothly rotate the paper with our free hand until it reaches a full circle.
5. We trace the outlined contours to the desired condition.

The method is very simple. If you can’t draw a solid line or you can’t rotate the paper. You can make small serifs and then connect them. You can rotate around the sheet yourself - the result will be the same.

How to draw correctly

The simple method is good, first of all, only for training skillful use of the main drawing tool. This is the only way real artists don’t draw circles. Let's learn how to do it correctly:

• We fix the sheet of paper on the easel with buttons so that there is no desire to twist the paper.
• Mark the center of the future circle.
• We draw vertical and horizontal lines through it. At the same time, we try to press on the pencil as quietly as possible. The rays should be barely noticeable.
• Now you need to draw straight lines through the center, dividing the angle in half, or better yet, into 3-4 sectors. The larger the circle you are going to draw, the more sectors you make.
• With the help of a sharpened assistant, we measure the required radius on all rays, making notches. If the radius is no larger than the length of a pencil, then we use the skills of the previous method. If more, then measure the required amount of pencil length.
• Connect the serifs with a solid line.
• Erase the auxiliary lines with an eraser.

Once you master this method, you will be able to draw any circle without rotating the paper or spinning around it. Drawing a circle will be as simple a task for you as drawing a straight line of any length. By the way, learning this is much more difficult than drawing circles.

What's good about this skill? If you look around you, you will quickly see that there are not so many straight lines around, mostly wavy and broken contours. Any wavy line consist of different parts circles. If you know how to draw a circle, you can draw anything. Therefore, feel free to pick up a pencil and master the next technique leading to artistic mastery!

Drawing a circle is not the most common task in life. It is even more difficult to gather your thoughts when you have to draw a circle by hand, without a compass, stencil or other auxiliary devices. But no one is immune from such a need. For some people more often, and for others less often, drawing a circle without a compass happens to everyone. For schoolchildren and students who forgot their cooking utensils at home. For parents of preschoolers who love to cut out “skirts” for cardboard dolls. Parents of schoolchildren receiving homework make paper snowflakes. Housewives who regularly cover the bottom of the baking dish with suitable rounds of culinary parchment.

It’s easy to draw an even circle at home: take a plate, saucer or glass, place it upside down on paper and trace along the outline. How about drawing a perfect circle by hand? We bet the circle will look more like an oval, ellipse or polygon, depending on the precision of your coordination of movements? In the end, this is already a challenge to yourself. Will I be able to do such a trifle as drawing a perfect circle without a compass?! We know you can. If you practice and use a few tricks, you can draw an even circle without a compass and/or stencil, by hand.

What's the easiest way to draw a circle without a compass?
Forgetfulness is not a problem if you can compensate for it with resourcefulness. Let's say you left your compass at home while heading to a geometry lesson (on a topic related to circles) or a meeting (you urgently need to draw a visual pie chart). So that no one guesses about your absent-mindedness, gives you a bad mark or reprimands, we offer you the following simple ways drawing a circle without a compass:

• Take a protractor from your pencil case (yours or your desk neighbor’s). This drawing instrument is famous for its versatility: it often replaces a ruler, and in the absence of a compass it will also perform its task. Place the protractor on the paper, placing the middle of its flat side at the point that will become the center of the future circle. Holding the protractor with your left hand, trace its rounded part with a pencil - this is half a circle. Now, being careful not to displace the center of the circle, rotate the protractor approximately 90° around the midpoint. Trace the rounded side again in a new location. Rotate the protractor on the paper to complete the circle and bring the pencil line to a full circle. In principle, you can draw a circle from two semicircles, but not all protractors allow this, so the three-step method is considered the most versatile and accurate.
  
• Even if there is no protractor nearby, you will have to violate the reputation of a diligent student and use an object that is not approved by all teachers: a CD. It will be easier for the manager at the meeting, because he will probably have a disk with a presentation or photos from a recent corporate event at hand. Place the disc on the paper and, pressing it with your left hand, trace it with a pencil with your right. If you need to draw a small circle, circle the disk not outside, but along the inner hole.
  
• Drawing a circle for a diagram by hand couldn't be easier! To do this, take an ordinary glass (glass or plastic disposable - it doesn’t matter), pretend that you want to wet your throat. Pour water into a glass (this will make it heavier and more stable), make sure that the bottom remains dry on the outside, and place it on a sheet of paper lying in front of you on the table. Now casually, without attracting too much attention and without making sudden movements, outline the bottom of the glass on the paper. Take another sip of water and place the glass away from the paper.
  

Compasses, CDs, and glasses are the most common objects found in offices, but you can use other rounded outlines to draw a circle without a compass. The only drawback of this handy method is the limited radius of the resulting circles.

How to draw circles without a compass different sizes?
To draw different circles without a compass evenly and beautifully, you will have to do without any aids: only paper, a pencil and the dexterity of your hands. But don’t be alarmed: it is the hands that can draw a circle without a compass. You can use these methods in almost any situation:

1. To draw a small circle by hand, literally, place a sheet of paper on a table or other flat horizontal surface, and take a pencil in right hand normal movement. Bring your hand with a pencil to the paper and, slightly not completely lowering the lead onto the sheet, rest your little finger on the paper. The main condition: the little finger must press the sheet firmly against the table, but allow it to rotate around the axis, which is the point of contact of the pad of your little finger. Place the writing tip of the pencil on the paper and fix the position of the brush. With your other hand, rotate the sheet of paper around the little finger axis - and you will see how the stylus draws a perfect circle around it. A couple of tips: it’s more convenient to use a soft pencil (B or 2B) and cut your nails short.
   
2. To draw an even circle with a larger diameter, you will not need any other devices other than those listed in the previous paragraph. In the same way, take a pencil with a fairly soft lead with the fingers of your right hand. This time bend your little finger and press it against your palm, as if you were gathering your fingers into a fist. Lean on the crook of your little finger and repeat the previous technique. Rotate the piece of paper under your hand and hold the pencil still at a comfortable speed to create a neat circle. Manicure in in this case no longer plays a big role. You can draw a medium-sized circle without a compass separately, or you can draw it around an already drawn small circle.
   
3. To draw a circle of even larger diameter, you can again use your own hands. The pattern of actions is repeated exactly until the moment of bending the fingers. But this time, lean not on your knuckles, but on the protruding part of your wrist. There is a protruding bone on the outside that will serve as an excellent support for your hand when drawing a circle. Hold the brush and pencil motionless in it, turning the sheet of paper on which an even circle of the desired size appears.
   

The greatest difficulty of the described methods is to learn not to move the right hand holding the pencil. But you will probably get the hang of it after a few workouts and/or find the speed of rotation of the sheet of paper under the stylus that suits you. In any case, artists admit that they use this technology when they need to draw a perfect circle by hand.

How to draw a large even circle without a compass?
It’s a little easier for schoolchildren, artists and office workers: their circles fit on small paper. But tailors and cutters have to work with larger surfaces, and circles are no less common in their work. The bottoms of panama hats and hats, the hems of sundresses and flared skirts - all these silhouettes are based on a circle. But this circle is often such that a compass commensurate with it simply does not exist. And this is how seamstresses came up with drawing circles without a compass:

1. First, determine which circle to draw by hand - that is, the radius of this circle. To do this, use a regular measuring tape to measure the desired area: waist circumference, head circumference or other parameter. Let's assume that this is a waist circumference of 60 cm.
   
2. The resulting number is the circumference. To find out the radius of a circle from the length, use the arithmetic formula: R= circumference/2∏. Accordingly, the radius of our circle will be equal to 60/2*3.14 = 60/6.28 ≈ 9.5 (cm). This is the radius of the circle that we have to draw by hand.
   
3. Take two pencils of the same length. Tie them with a strong thread, the length of which without taking into account knots (that is, the actual distance between the pencils when the thread is taut) is 9.5 cm. Place one pencil in the center of the future circle, and move the second one to the length of the thread.
   
4. Keeping the first pencil stationary, wrap the second in a circle, drawing a mark of the lead on the paper and maintaining the same thread tension throughout the entire process of drawing the circle.
   
5. Thus, we simulated the principle of operation of a compass without having a compass to draw great circle. The drawn circle is perfectly smooth and can be used to pattern a skirt belt.
   

To draw a full skirt pattern, increase the radius (the length of the thread between the pencils) by the intended length of the finished piece and draw a second circle around the first. Here is a blank pattern for a sun flared skirt, which you drew without the help of a compass or even a stencil.

How to draw a perfect circle without a compass
The main and perhaps only drawback of all the methods outlined above is the flaws in the circle being drawn. A circle drawn without a compass turns out to be approximately even, but not quite perfect, especially if you draw it in a hurry. There is a way to fix this problem. It will take a little more time, but you will be pleased with the result:

1. Take a piece of paper, a pencil and a ruler.
   
2. Decide what the radius of the future circle will be.
   
3. Place a dot on a piece of paper and mark it with a “0” mark on the ruler.
   
4. Place a second dot on the paper exactly next to the number indicating the radius you have chosen.
   
5. Move the ruler, place the “0” again on the starting point and place a second point according to the length of the radius.
   
6. Continue placing dots at equal distances from the center of the future circle.
   
7. As a result of these actions, you should get a circle drawn with a dotted line.
   
8. The more dots you put, the thicker the dotted line will be and the smaller the distance between its risks.
   
9. Connect the circle along the dotted line.
   

These are the simple and available methods draw a circle without a compass. Choose any of them or use the one that suits your circumstances. And remember that hopeless situations doesn’t happen - you can always figure out how to get out, how to solve a problem, or even draw an even circle by hand without a compass. Good luck, beautiful drawings and perfect graphs!

Drawing circles of various diameters is far from the most necessary skill in life. However, sooner or later the need to draw a circle without a compass and other round-shaped auxiliary objects takes everyone by surprise. Therefore, it is better to find out in advance without a compass, regardless of its diameter.

How to draw an even circle without using a compass

You can be a schoolchild who came to a geometry lesson, forgetting his drawing tools, a student, an adult forced to draw a perfectly straight circle - different situations happen.

It will be useful for every person to know how to draw an even circle without a compass. We offer you several ways to solve this problem.

A compass can easily be replaced by another tool found in every student’s pencil case, namely a protractor. Place it on paper, marking the central point on the straight part, this will be the center of the future circle. Trace the inside of the semicircle, then rotate the ruler about ninety degrees and draw a third of the circle. Rotate the protractor one more time and complete the circle.

If you are at a meeting or at your workplace, but don’t have it at hand the right tool, just use the CD. Trace it from the outside or from the inside to get a smaller shape.

In an office setting, you can also use a glass. To do this, take a glass of water, take a sip and place it on a sheet of paper, lightly circle the bottom. Drink some more and set it aside.

All of the above items can be found in any office; the protractor will also be available to students. With their help you can draw a circle evenly without a compass.

Draw circles of different sizes without auxiliary objects

What to do if you need to draw circles of different diameters?

It is not at all difficult to cope with this problem, having only paper and a simple pencil on hand.

Take a pencil in one hand and place the other on a piece of paper. Place the little finger of your first hand on the sheet so that it is the center of the future circle. Hold this position well. With your other hand, start turning the paper around your little finger. You will see how a smooth circle is obtained, just like when using a compass.

Circle larger size is drawn in the same way, but in this case bend your little finger, as if you clenched all your fingers into a fist. With your left hand, start turning the sheet until you see the resulting circle. It is advisable to use a pencil with a soft lead.

A circle with an even larger diameter can be drawn by repeating all the above tips, but now the right hand should touch the sheet with the protruding bone on the wrist.

These are the most simple methods how to draw a circle without a compass. The most important thing in these methods is to learn to keep your right hand motionless (left if you are left-handed).

How to Draw a Perfect Circle Using a Ruler

If you have a regular ruler on hand, then you can use another tip on how to draw a circle without a compass. Take a ruler and place it on the paper, the "0" mark will be the center of the circle, so place it in in the right place. Draw the second point near the digital value corresponding to the radius of the circle. Move the second edge of the ruler slightly so that the middle remains at zero, and the third point is located slightly above the second.

Do this procedure several times. As a result, you should have a circle drawn. The more often the dotted line, the easier it will be to connect everything into a solid line.

This is perhaps the easiest, but at the same time the longest way to draw a circle without a compass.