Question

Which step is the same when constructing an inscribed square and an inscribed regular hexagon?

Answer 1

Answer:

  Construct a circle first

Step-by-step explanation:

If you're going to inscribe any figure in a circle, the first construction you need to do is construct the circle.

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Additional comment

The attached shows our construction of an inscribed square and an inscribed regular hexagon. Here are the steps we used. You will notice the first step is construct a circle. (It could be, construct line AB, then construct circle A with radius AB.)

We have used line AB in the construction of the hexagon, but the hexagon could have been constructed without it. That is why "construct a circle first" is likely a better choice for a common first step.

square

1. construct circle A and locate a point B on it
2. construct line AB, and locate point C at the other intersection of AB and circle A
3. set the compass to greater than half the diameter
4. using B as a center, draw arc RS
5. using C as a center, draw arc RS using the same compass setting. Label the intersection points R and S.
6. draw line RS. Label the points of intersection with the circle as T and U.
7. draw inscribed square CTBU

regular hexagon

1. construct circle A and locate a point B on it
2. construct line AB, and locate point C at the other intersection of AB and circle A
3. without changing the compass, using B as a center, draw arc KL. Label intersection points K and L.
4. using C as a center, draw arc JM. Label intersection points J and M.
5. draw inscribed hexagon CJKBLM

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Arguably, the first step to constructing a circle is set the compass to the radius. We chose to ignore this because one of the ways to construct an inscribed hexagon is to mark off successive arcs around a circle that have a radius equal to the radius of the circle. We did not use that method. (The use of diameter BC made drawing 5 arcs around the circle unnecessary. We drew 2 instead.)

Or, you could argue that construct a line first is needed before you set the compass to the radius. If this is the first step, then the next steps would be to mark the center of the circle on the line, and mark another point at a distance of the radius from that center point.

What you consider to be the first step depends on the level of detail you want to attend to.

Answer 2

After the construction of a circle, we have to "Set the compass to the radius of the circle" so, option C is correct.

What is a regular hexagon?

A regular hexagon is defined as a closed shape consisting of six equal sides and six equal angles. The sum of the measure of angles of a regular hexagon is 120 degrees.

Steps to create an inscribed hexagon:

1: The structure needs to adjust the box thickness towards that radius.

2: Afterward moves around the outside of the circular path to just produce the 6 vertices of that similar hexagon.

"Set the compass to the radius of the circle" so, option C is correct.

Thus the above answer is correct.

Learn more about inscribed hexagons here:

brainly.com/question/21502832

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