Which step is the same when constructing an inscribed square and an inscribed equilateral triangle?

Connect every arc along the circle.
Construct a circle of any arbitrary radius.
Set the compass width to greater than half the diameter of the circle.
Set the compass width to the radius of the circle.

Setting the compass width to the radius of the circle, rotating [tex]\frac{360^{\circ}}{n}[/tex], where n is the number of sides of the regular figure and highlighting each vertix.

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MrRoyal MrRoyal · Answer 2 · 2021-09-21T20:44:45+02:00

An inscribed shape is a shape drawn in a circle, where the vertices of the shape touch the circumference of the circle.

The step that remains the same is: Set the compass width to the radius of the circle.

As stated above, the sides of the square or triangle must touch the circumference of the circle.

To ensure this, the compass must be set to equal the radius of the circle.

This is to make sure that the measure of angle between each point on the circumference is: [tex]\frac{360}{n}[/tex]

Where:

n represents the number of sides of the shape.

For a square,

[tex]n = 3[/tex]

For an equilateral triangle,

[tex]n =4[/tex]

Hence, the correct option is (c).

Read more about inscribed shapes at:

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