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A circle inside a polygon where each side of the polygon is tangent to the circle?
the circle is inscribed in the polygon
A polygon in which each side is tangent to the circle?
A square or an equilateral triangle for example when a circle is inscribed within it.
A line that is tangent to two circles?
... touches each circle in exactly one point on each circle. given any two circles where none is entirely inside or inside and tangent to the other, there are at most four straight lines that are tangent to both circles.
A circle drawn around a polygon so that each vertex of the polygon lies on the circle?
Circumscribed.
Does a tangent circle pass through the center of the circle?
If the tangent circles are outside of one another, then neither passes through the center of the other. If one circle is within the other, then the inner tangent circle might contain the center point of the larger circle. There will be infinitely many inner tangent circles that do not.
A circle inside a polygon where each side of the polygon is tangent to the circle?
the circle is inscribed in the polygon
What does it mean for a circle to be inscribed in a polygon?
the circle is tangent to each side of the polygon And it's located within the polygon
A polygon in which each side is tangent to the circle?
A square or an equilateral triangle for example when a circle is inscribed within it.
What is a circle in a square called?
An inscribed circle has its circumference tangent to each side of the square or other type of polygon surrounding it.
What is tangential quadrilateral?
A tangential quadrilateral is a four sided polygon such that each of its sides is tangent to the same circle.
What is the center of a regular polygon is the center of the included circle?
In a regular polygon, the center is the point that is equidistant from all vertices, and it serves as the center of the inscribed circle (incircle). This incircle is tangent to each side of the polygon, meaning it touches each side at exactly one point. The radius of this incircle is the distance from the center to any of these tangent points. Thus, the center of a regular polygon is also the center of the circle that fits perfectly inside it.
A line that is tangent to two circles?
... touches each circle in exactly one point on each circle. given any two circles where none is entirely inside or inside and tangent to the other, there are at most four straight lines that are tangent to both circles.
Is the center of a regular polygon is the center of a inscribed circle?
Yes, the center of a regular polygon is indeed the center of its inscribed circle, also known as the incircle. In a regular polygon, all sides and angles are equal, and the incircle is tangent to each side at exactly one point. This means that the center of the polygon coincides with the center of the circle that fits perfectly within it, touching all sides.
If a circle is tangent to each side of a hexagon then?
the hexagon is circumscribed about the circle
What is meant by a circle being circumscribed about a polygon?
It means drawing a circle around a polygon in such that each vertex of the polygon is on the circumference of the circle.
When each side of a quadrilateral is tangent to a circle The quadrilateral is inscribed in the circle?
No, the circle is inscribed in the quadrilateral.
What is a polygon inside a circle?
When a polygon is within a circle and the circle touches each one of its corners it is referred to as circumscribed.
