What is the circumscribed circle?

In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.
A.

What is the circumscribed circle of a triangle?

The circumcircle of a triangle is the circle that passes through all three vertices of the triangle. The construction first establishes the circumcenter and then draws the circle. circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect.
  • What is the intercepted arc of a circle?

    The intercepted arc is a section of the circumference of a circle. It is encased on either side by two different chords or line segments that meet at one point, called a vertex, on the other side of the circle or in the middle of the circle.
  • What is a circumscribed circle?

    In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.
  • What is the inscribed circle?

    An inscribed circle is the largest possible circle that can be drawn on the inside of a plane figure. For a polygon, each side of the polygon must be tangent to the circle. All triangles and regular polygons have circumscribed and inscribed circles. Most other polygons do not.
B.

What is an inscribed and circumscribed circle?

The center of this circle is called the circumcenter. An inscribed circle is the largest possible circle that can be drawn on the inside of a plane figure. For a polygon, each side of the polygon must be tangent to the circle. All triangles and regular polygons have circumscribed and inscribed circles.
  • What is a circumscribed rectangle?

    The circumscribed rectangle, or bounding box, is the smallest rectangle that can be drawn around a set of points such that all the points are inside it, or exactly on one of its sides. The four sides of the rectangle are always either vertical or horizontal, parallel to the x or y axis.
  • What is the difference between a circle and an eclipse?

    A circle is a closed curved shape that is flat. Instead of having all points the same distance from the center point, though, an ellipse is shaped so that when you add together the distances from two points inside the ellipse (called the foci) they always add up to the same number.
  • What does inscribe?

    The word is derived from the Latin "scribere" - to write or draw. It means to draw something inside something else. In geometry it usually means drawing one shape inside another so that it just touches. For example, the figure on the right is a circle inscribed in a triangle.

Updated: 4th October 2019

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