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Q: When constructing an inscribed equilateral triangle how many arcs will be drawn on the circle?

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Yes and perfectly

A square or an equilateral triangle for example when a circle is inscribed within it.

Draw a circle using a compass. Then, without changing the compass setting, place its point on the circumference of the circle, at any point A, and draw two arcs to intersect the circumference at B and C. Move the compass to B and draw another arc to intersect the circumference at D; and then from C to E. ADE will be an inscribed equilateral triangle.

That is the definition of the incenter; it is the center of the inscribed circle.

the answer is circumcenter

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Yes and perfectly

Yes. Any triangle can be inscribed in a circle.

A square or an equilateral triangle for example when a circle is inscribed within it.

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An equilateral triangle inscribed in a circle has three sides that are equal in length and three angles that are each 60 degrees. The center of the circle is also the intersection point of the triangle's perpendicular bisectors.

Where the side of the equilateral triangle is s and the radius of the inscribed circle is r:s = 2r * tan 30° = 48.50 cm

Yes. Any triangle can be inscribed within a circle, although the center of the circle may not necessarily lie within the triangle.

Draw a circle using a compass. Then, without changing the compass setting, place its point on the circumference of the circle, at any point A, and draw two arcs to intersect the circumference at B and C. Move the compass to B and draw another arc to intersect the circumference at D; and then from C to E. ADE will be an inscribed equilateral triangle.

The circumcenter of the triangle.

It is the center of the circle that is inscribed in the triangle.

That is the definition of the incenter; it is the center of the inscribed circle.

incenter