Thanks to the ability to draw perfectly smooth circle you can learn to draw a lot of other objects. For example, you can draw a ball, a ball, the sun, and many other things on a piece of paper. In order for the circle to be even, you need to use a compass, which is one of the most important geometric tools.
Constructing a circle
Before you draw a circle, you need to take the necessary items. To do this you will need a ruler, compass, pencil and notebook. To draw a perfectly even circle, you need to know some of the nuances of its construction. First, you need to mark the center of the circle on paper. The center is the point where the compass needle will be installed. In addition, points located on the boundary of the circle will be equidistant from the center. This distance by which the boundary points are removed from the center of the circle is called the radius.
The radius size is set by the legs of the compass. To build a circle, you can simply move the legs of the tool at any angle, but so that it is convenient to draw. If a specific radius is specified, then it is necessary to place the leg with the needle on the zero mark of the ruler, and the second leg on the required number.
Before you can draw a perfect circle, you need to understand how to use a compass. To do this, place the needle in the center of the circle, and with a large index fingers grab the top of the tool. Under no circumstances should you grasp the legs, since when the compass rotates, you can move them, which will lead to a change in the figure. After this, you need to carefully rotate the compass until the boundaries are closed. These boundaries left by the compass lead will be the contours of the circle. You can shade the entire area inside the circle with a pencil to get a circle.
Constructing a circle without a compass
Many novice artists are tormented by the problem of how to draw a circle without a compass using auxiliary objects. There's really nothing complicated about it. To do this, you need to arm yourself with a ruler, a pencil and your own eye.
First you need to draw the coordinate axes to get the center of the circle. The center of the circle will be located at the point of intersection of the axes of symmetry. Now, using a ruler, you need to lay out identical segments from the center of the circle in all directions, which will be the radius of the circle. After this, you need to carefully connect the points with a smooth line to get a circle.
To understand how to draw a circle in isometry, you need to remember that isometric projection creates a slight tilt for all shapes. This is why a circle in isometric projection takes the shape of an oval. To construct such a figure you will need a pencil, a compass, a square and a protractor.
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:
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 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 on 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.
Olga Klishevskaya, especially for the “Women’s Conversations” website.
Instructions
Draw one of the sides of the angle. To do this, first place a point, which should be its vertex, and mark it with the letter A. Draw a line starting from it - the side of the angle.
Construct an auxiliary perpendicular to the drawn side. This is easy to do on paper, but for unlined paper and if you don’t have it, you can use a compass. This method is also convenient for cases where the side of the corner on checkered paper is inclined. Draw two intersecting circles whose centers lie on the side of the corner. Draw a straight line through the intersection points of the circles - this will be a perpendicular. The point of its intersection with the side of the angle is designated by the letter B.
Measure the length of segment AB. The resulting number will participate in the calculations, so constructing a perpendicular at such a distance from point A that the number is round will simplify the calculations.
Set aside a distance on the perpendicular that is equal to the product of the number obtained in the previous step and the tangent of the desired angle. To calculate the tangent, use tables of trigonometric functions or a calculator - for example, a software calculator built into the operating system. Let's say, if the length of segment AB is 20 cm, and you need to draw an angle of 55°, then on the perpendicular you need to put 20*tg(55°)≈20*tg(55°)≈20*1.428=28.56 cm.
Instead of tangent, you can use another trigonometric function- for example, if you choose a cosine, the length of the segment AB must be divided by the cosine of the desired angle. But in this case, you will get the length of the second side of the angle, and the point of its junction with the perpendicular will need to be determined using a compass. For example from the previous step, the calculations in this case will look like this: 20/cos(55°)≈20/0.576≈34.72 cm. Put the resulting value on a compass, place it at the vertex of the angle and mark on the perpendicular the point of its intersection with the imaginary a circle of deferred radius.
Having measured a segment of the required length on a perpendicular using one of the described methods, put a point and mark it with the letter C. Then draw the second side of the angle - connect its vertex (point A) with point C. This will complete the construction of the angle BAC.
It’s good to have a standard drawing set at hand - a ruler, pencil, compass, protractor, various triangles, thanks to which you can get any geometric figure. However, if there is nothing suitable for the work, then even in this case you can get out of the situation - it is enough to use simple techniques that will help to implement the planned drawing.
You will need
- - paper;
- - pencil;
- - thread or rope;
- - round objects;
- - needle, nail, peg.
Instructions
The easiest way to get any diameter is to use objects circle loy forms, which are usually sufficient. For circle and a medium diameter will do kitchenware- assorted plates, mugs, discs, glasses and even pots. If you have a swivel chair, you can use it too - just turn it over and trace it on paper. If a smaller diameter is needed, then use shot glasses, coins of various denominations, and bottles as a base.
If a figure is needed big size, then even a compass will not help here, and therefore it is necessary to make a homemade device. Thanks to this it is possible to draw circle any diameter, for example, . Take a sharpened peg and tie a rope to it. Insert the peg into the center of the intended circle A. If the figure is on the asphalt, then you will need the help of another person who will hold the peg in the center. Measure the required length (radius) on a rope or strong thread (you can also use a wire). Tie a new peg or chalk in this place. Now, holding it in your hands and slightly pulling the rope, walk along circle y, leaving a mark on the ground or asphalt.
Place the resulting long narrow cone in front of you and make marks on it. To do this, align the beginning of the improvised ruler with the sharp part of the folded paper. This will be the center of the future figure. Measure the radius using a ruler circle and first on one side of the cone, and then on the other. Now perform the same actions throughout the entire segment, which resembles a piece. Connect the resulting points, which you mark as close to each other as possible. The result will be a line in the form of an arc. Cut along the contour and unfold the sheet, which will look like circle A. You can trace the finished “pattern” onto a blank sheet of paper.
Drawing a circle is not the most common task in life. It becomes 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 unnecessary 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.
How to draw circles of different sizes without a compass?
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:
- To draw a small circle by hand, literally, place a sheet of paper on a table or other flat horizontal surface, and take the pencil in your right hand in a normal motion. 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 a 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.
- 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 keep 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.
- 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 while turning the sheet of paper on which the smooth circle the right size.
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:
- 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.
- 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.
- 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.
- 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.
- 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.
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:
- Take a piece of paper, a pencil and a ruler.
- Decide what the radius of the future circle will be.
- Place a dot on a piece of paper and mark it with a “0” mark on the ruler.
- Place a second dot on the paper exactly next to the number indicating the radius you have chosen.
- Move the ruler, place the “0” again on the starting point and place a second point according to the length of the radius.
- Continue placing dots at equal distances from the center of the future circle.
- As a result of these actions, you should get a circle drawn with a dotted line.
- The more dots you put, the thicker the dotted line will be and the smaller the distance between its risks.
- Connect the circle along the dotted line.
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:
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.
We take a mobile phone, 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, this is a 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 on 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.
Olga Klishevskaya, especially for the “Women’s Conversations” website.