How to Draw a Circle Inscribed in a Hexagon

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Loosely-defined, a hexagon is whatsoever polygon with six sides, simply a regular hexagon features six equal sides and vi equal angles. Look at pictures of hexagons to get a better idea of what you're cartoon. In a pinch, consider simply tracing an existing picture of a hexagon. Apply a ruler and a protractor to depict a perfect hexagon. For a rougher hexagon, try using a round shape and a ruler to guide your hand. If precision is not paramount, and so experience gratuitous to sketch out a unproblematic hexagon using only a pencil and a creative mind.

1. ane

   Describe a circle with a compass. Place a pencil in your compass. Widen the compass to an appropriate width for the radius of your circle. It can be just a few inches or centimeters wide. Next, identify the indicate of the compass on the newspaper and sweep the compass around until you've created a circle.

   • Sometimes it's easier to draw a half-circle in one direction, and and so to come back and draw another half-circle in the other management.

2. 2

   Move the compass point to the border of the circumvolve. Motion it towards the top of the circle. Do not change the angle or settings of the compass.

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3. iii

   Brand a small mark on the border of the circle with the pencil. Get in distinct, but not too dark -- you'll be erasing it later. Recall to maintain the angle you've fix for the compass.

4. iv

   Move the compass point to the mark you lot made. Place the point correct on the mark.

5. five

   Make another mark on the edge of the circumvolve with a pencil. This should create a second mark a altitude away from the outset mark. If you've been moving clockwise or counterclockwise effectually the circle, go along to practice and so.

6. 6

   Make the last 4 marks using the same method. You should end upwardly dorsum at the marker where yous originally started. If you lot don't, it'southward probable that the angle of your compass changed while y'all worked, possibly from squeezing it too firmly or letting it loosen a scrap.

7. 7

   Connect the dots with a ruler. The six places where your marks cantankerous the edge of the circle are the six points of your hexagon. Use your ruler and a pencil to draw a straight line segment that connects the adjacent dots.

8. eight

   Erase your guiding lines. These include your original circle, the marks along the edges, and any other marks you made along the way. Once you've erased your guiding lines, your perfect hexagon should be consummate.

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1. 1

   Trace the round rim of a glass with a pencil. This will create a circumvolve. It'southward important to use a pencil considering you'll need to erase the marks you made after. You tin too trace the rim of an upside-downwards mug, a jar or food container, or anything else with a round base of operations.

2. ii

   Depict a horizontal line through the eye of your circle. Y'all tin can use a ruler, volume, or any straight border to practise this. If you practise have a ruler, you can discover the halfway mark by measuring the vertical length of the circumvolve and splitting it in one-half.

3. 3

   Draw an X over the halved circumvolve, splitting it up into 6 equal sections. Since you already have a line running downward the middle of the circle, the X will take to be taller than it is broad to proceed the pieces even. Simply think of this as slicing a pizza into 6 equal pieces.

4. 4

   Turn each of the six sections into triangles. To exercise this, just use a ruler to draw a straight line nether the curved part of each department, connecting it to the other two straight lines to form a triangle. Echo this process six times. You lot can retrieve of this as forming a "crust" around your pizza slices.

5. 5

   Erase your guiding lines. The guiding lines include the lines in your original circle, the 3 lines that separate the circle into half-dozen sections, and any other marks you fabricated along the way.

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1. 1

   Describe a horizontal line. To draw a straight line without a ruler, but draw a starting and catastrophe dot for the horizontal line. Then place your pencil on the starting dot and keep your middle on the ending dot as you lot draw a direct line toward it. This line can exist simply a few inches or centimeters long.

2. 2

   Describe 2 diagonal lines from the ends of the horizontal line. The diagonal line on the left side should be opening upward toward the left, and the diagonal line on the right side should exist opening upward toward the right. You can retrieve of each of these lines forming a 120 caste bending with the horizontal line.

3. three

   Draw two more diagonal lines moving inwards from the bottom edges of the starting time ii diagonal lines. They should create a mirror-image of the first two diagonal lines. The line on the lesser left should await similar a reflection of the line on the elevation left, and the line on the bottom right should look similar a reflection of the line on the top right. While the top lines were moving outward from the top horizontal line, the bottom lines should move inward from the bottom edges of the top lines, toward the space where the base will be.

4. four

   Draw another horizontal line connecting the 2 bottom lines. This will form the base of the hexagon. Information technology should ideally exist parallel to the tiptop horizontal line. This will complete your hexagon.

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Add New Question

• Question

  How can I figure how wide the sides of a hexagon should be if I know the diameter?

  

  If you know the diameter of a circle that touches the corners of the hexagon, this is piece of cake. Halve the diameter to go the length of your hexagon'south sides. The reason being, a regular hexagon tin exist divided into half dozen equilateral triangles by cartoon straight lines between opposite corners. These lines are the diameter of the circle that touches the corners of the hexagon, and likewise twice the length of a triangle side. If you mean yous know the diameter of a circle that fits inside the hexagon, then this takes a piddling more math, but once over again cut the number in half. That'due south the height of one of your equilateral triangles. Knowing that, you can once once more summate the length of the sides.

• Question

  How do I draw a hexagon with all sides equal only not all angles?

  

  Using a compass, merely set the compass to any random setting and start marking points. Placing the last point is a little rougher -- merely draw circles around the two end points and put the terminal point at 1 of the two intersections of the circles.

• Question

  Will the radius be equal to each side of the hexagon?

  

  Yes, because a regular hexagon can exist made using half dozen equilateral triangles, so the radii of the hexagon will be equal to the side lengths.

• Question

  What is the radius of a circle?

  

  The radius of a circumvolve is the altitude from its eye to its edge.

• Question

  Practise yous have whatever tips on drawing a trapezoid?

  

  Use the instructions to draw a perfect hexagon, so erase the bottom 3 lines. Connect the left and right lines with a direct line. The trapezoid is complete.

• Question

  How do I draw a hexagon that is exterior the circle?

  

  You need the inscribed hexagon for the vertices as references. From the eye, use a straightedge to draw a notch at each vertex radially outward, or perpendicular to the surface of the circle. Use a perfect corner to draw a transverse line left and right of the vertex notch, extending by the projection of the bisecting normal of each inscribed hexagon side wall. Repeat for all six and you have a circumscribed hexagon that is the exact orthogonal to the inscribed.

• Question

  How do I draw a decagon?

  

  Apply a compass to draw a circle, draw 10 points evenly spaced effectually the circle, and then connect them with straight lines.

• Question

  How exercise I construct a hexagon if I know the side length, only I don't have the diameter of the circumvolve?

  

  The side length is the radius of the circle. Set your compass to the side length and from the centre of the hexagon draw your circle. The circumvolve will inscribe the hexagon. The centre of the hexagon can exist plant by drawing lines from each betoken of the hexagon to the point reverse. They will all intersect at the center.

• Question

  How do I draw a hexagon with two lines of symmetry?

• Question

  What would I do to get the Hexagon fatigued up with a specific height?

  

  Height corner to corner = two x side length. Height side to side = two x side length * sin(sixty deg) (~ .866).

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VideoRead Video Transcript

• For accurate measurements, it is wise to check the bending sizes of the hexagon.

• The point of the pencil on the pair of compasses needs to be kept sharp in order to minimize errors from marks that are too wide.

• If, while using the compass method, y'all connect every other mark, instead of all six marks, you lot will end upwardly with an equilateral triangle.

• Make sure that you depict the circumvolve lightly so that y'all can erase information technology easily.

Cheers for submitting a tip for review!

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• A compass is a sharp instrument; please handle with care to forestall injury.

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Why This Works

• Either method works to create a perfect hexagon past forming 6 equilateral triangles with the radius as the length of all of the sides. The six radii drawn are all of the same length and the six chords drawn to create the hexagon are each the aforementioned length as the radius because the compass width was not changed. Because the 6 triangles are all equilateral, the angles betwixt the vertices are each lx°.

Things You'll Need

• Paper
• Pencil
• Ruler
• A pair of compasses (the kind used for drawing circles is technically referred to as a "pair of compasses" to distinguish it from a navigator's compass, which has a magnetic North/S, etc.) or a glass/mug
• Something to put under the paper and then that the compass point doesn't skid
• Eraser
• Protractor

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Article Summary X

To draw a hexagon, starting time past tracing something round to brand a circle. Then, use a ruler to draw a horizontal line through the center of the circle. Next, take the ruler and draw an "x" over the circle so it's divided into half-dozen equal parts. After you draw the "ten," turn each section into a triangle by cartoon a straight line between neighboring points along the circle. Finally, erase the circle, the "x," and the horizontal line you drew at the showtime and you'll be left with a hexagon! Go along reading the article if you lot want to learn how to apply a compass to draw a hexagon!

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