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Circumference division - Contenido educativo
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Okay, let's solve the division of the circumference worksheet.
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So, first thing, we have to connect the centers horizontally with line, dot, line, dot, type, line.
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so these are going to be axis okay we can stop there we continue we connect
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exercises three and four horizontally two like this and on exercise four two
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once you have everything connected horizontally three or four and one and
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two we are going to draw the vertical axis for doing that place perpendicular right angle like
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this on o and you can draw this oh sorry here perpendicular and continue the line up the same
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with exercise number two remember that these lines should be around one centimeter long
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and two millimeters gap for each of the dots so we continue to number three and so on
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in case your rulers maybe are rounded or broken here on the right angle you can also do this
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okay so you place your square or bevel like this and the other ruler you put it like that
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okay close to the previous one take this out and this is going to be a perpendicular line too
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okay okay we are demanded to draw four radius 45 circumferences by doing that we are going to
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draw a radius from o in any direction from 0.0 with the ruler we are going to measure
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4.5 and draw the arrowhead clean inside and name this like r45 sorry r45 okay we erased
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we can erase here the rest of the pencil of the lead and now draw the circumference
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so we place the compass on the center and draw the 45 radius
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circumference passing through the circumference center okay for example here i need a little bit
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more of the cup to continue the axis and do the same here below okay and we keep
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drawing the with the same radius on the four circumferences normally we would do
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the radius for time four times but considering they are the same we are not
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going to draw those radius again and again okay so we take the measurement from the first one
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from exercise number one and draw the four circumferences i only need
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some millimeters out of the axis out of the circumference so i can erase
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like here okay a little bit so we have a clean a clean here okay that's good now we are going
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to go for um the equilateral triangle okay number one um considering the procedure for number one
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and four is very similar we are going to do both at the same time this is really really easy
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so for number one you're going to take place the rate the tip of the compass
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there okay on the lowest point and taking the whole radius you draw this
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arc okay that that are crossed in two points and we are going to do the same
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in number four number four is the next second okay so we are going to do the same but twice
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so you place the compass there on the point on the lowest point draw this arc and do the same
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from the highest point this point on top you draw
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another symmetrical arc okay that's it you would see there an error of around one millimeter
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that's wrong okay the both arches should pass through exactly the center okay and now
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we have six divisions and three divisions i'm going to name them okay so here on top
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number one here on top this is one this is two and this is three okay
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or you can use abc too if you want and here you have a
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b c please use capital regular capital letters not your own handwriting should be clean should
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be clear so like computer like letters okay now we connect this with six divisions and
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three divisions and you will get here on top the triangle the equilateral triangle and here below
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the hexagon you have to give the alphabetical order you can name it clockwise or anti-clockwise
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you choose the direction but you cannot jump letters okay so you keep the order
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clockwise or anti-clockwise we have the six divisions okay for number four um the good
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news is that we have already divided the circumference into four because with the
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right angle axis you have divided the circumference so this is a oh sorry
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this is a b c and d so you connect them and you will get a square we already explained
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in class that this is not a rhombus okay be careful with that because the position
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doesn't make or doesn't transform the geometrical polygon so the geometrical properties of the
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polygon so in this case this is a square because the the angles are right angles 90 degrees
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angles and this is not a rhombus for being a rhombus you need
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different angles not right angles okay you need them to be acute two of them and obtuse the other
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two so in this case this is a square great and we are going to go for finally number three that is
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the pentagon okay for the pentagon i'm going to amplify this a little bit good so for the pentagon
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we need to draw the segment by sector of the radius so for doing that i'm going to
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draw this axis i'll do this a little bit further four millimeters further so if we name this point
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for example q this is q and we are going to draw a divide into two that segment oq that radius
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so you need to place a compass on Q like this from Q to O again the radius and draw the radius
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like this okay this is we can call it a lazy segment bisector because we are recycling this
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arc and we are doing a drawing the symmetrical arc okay we could have done um well we could
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have solved it with a different radius but in this case it's cleaner okay so that arc
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passing through o and this arc you already have so both are equal okay if you connect
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these two points we are going to name them okay so this is going to be one
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this is going to be two so if you connect one and two with precision
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parallel to the vertical axis okay that's very important you will get the
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segment bisector and this segment bisector divides OQ and the
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radius into two so this is the midpoint midpoint okay that's M midpoint very
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good considering this is an odd polygon okay because have five sides you're
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going to use the top point as a vertex okay that's the top vertex of the
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pentagon that's a that's point a and now I'm going to amplify this a little bit
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okay now with a compass this is the tricky part pay attention you place the
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compass on M the tip of the compass on M and take the radius MA okay MA look at
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that's good and we are going to transport that distance to the
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horizontal diameter okay to the axis so MA you transport that measurement here
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this point this crossing point is called L that distance LA with position okay
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with accuracy so if you draw that line with accuracy with position you will get
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five this is a a lowercase l okay l5 that's the side of the pentagon so the problem is solved
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now we have to transport that side into the contour of the circumference okay so for doing
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that we take the compass again and you from a you take the distance l5 so al the segment like this
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look and transport the instance here and to the other side there okay again this distance al
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here and with the same radius to the other side there okay and now we repeat the distance
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so with the same distance with l5 we transport this distance from this point very important okay
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here have in mind that two is not the same point that that one this is a common mistake okay
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and from this other point again okay so i'm going to insist this distance you transport here
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there again and again that's the rest of the of the circumference okay is going to be the fifth
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side if you connect all of them my advice is that you mark them forehand before drawing it so this
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is going to be b the crossing point this is going to be c sorry again this is going to be c d and e
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and now is the time of join before drawing the pentagon okay so a b b c c d
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that's mistake AD GA sorry and EA okay so this is solved if you did it right this distance
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L5 is going to be the same one that here CD and that's enough for now thanks for listening
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- Idioma/s:
- Autor/es:
- Publio Pérez Prieto
- Subido por:
- Publio P.
- Licencia:
- Reconocimiento - No comercial - Sin obra derivada
- Visualizaciones:
- 114
- Fecha:
- 22 de abril de 2024 - 21:00
- Visibilidad:
- Público
- Centro:
- IES PEDRO DUQUE
- Duración:
- 18′ 04″
- Relación de aspecto:
- 1.78:1
- Resolución:
- 1920x1080 píxeles
- Tamaño:
- 2.50
