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Q: In order to inscribe a circle in a triangle the circle's center must be placed at the circumcenter of the triangle?

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the answer is circumcenter

The answer is circumcenter

The circumcenter is the center of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors.

Circumcenter. The circumcenter of a triangle is the center of the circumcircle of the triangle. It is the point, O, at which the perpendiculars bisectors of the sides of a triangle are concurrent. The circumcircle of a triangle is the circle that passes through the three vertices. Its center is at the circumcenter.

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No.

That is correct

The circumcenter of a triangle is the center of the circle drawn outside the triangle with all three vertices touching its circumference.

Circumcenter - the center of the circle that circumscribes the triangle, ie. goes through all its vertices.

Yes.

The circumcenter of a triangle is the center of a circle circumscribed around a triangle with each of the vertices of the triangle touching the circumference of the circle.

the answer is circumcenter

The answer is circumcenter

The circumcenter is the center of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors.

Circumcenter. The circumcenter of a triangle is the center of the circumcircle of the triangle. It is the point, O, at which the perpendiculars bisectors of the sides of a triangle are concurrent. The circumcircle of a triangle is the circle that passes through the three vertices. Its center is at the circumcenter.

circumscribed about

The circumcenter of the triangle.