rectangle
the center of a circumscribed circle is called the focus.
The only way to circumscribe a circle around a parallelogram is when the parallelogram is a rectangle. This is because only rectangles have all four angles equal to 90 degrees, which allows a circle to be inscribed such that all vertices are equidistant from the center. In general, a circle can be circumscribed around a polygon only if the polygon is cyclic, and rectangles are the only type of parallelogram that meet this criterion.
Yes, a parallelogram inscribed in a circle must be a rectangle. This is because a circle's inscribed angle theorem states that the opposite angles of a cyclic quadrilateral (a quadrilateral inscribed in a circle) must be supplementary. In a parallelogram, opposite angles are equal, which can only hold true if all angles are right angles, thus making the parallelogram a rectangle.
Three
circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.
rectangle
true
No.No.No.No.
supplementary
If a parallelogram is inscribed in a circle then it must be a cyclic quadrilateral.
the center of a circumscribed circle is called the focus.
You cannot circumscribe a "true rhombus". The opposite angles of a circumscribed quadrilateral must be supplementary whereas the opposite angles of a rhombus must be equal. That means a circumscribed rhombus is really a square.
To circumscribed a circle about a triangle you use the angle. This is to get the right measurements.
Yes, a parallelogram inscribed in a circle must be a rectangle. This is because a circle's inscribed angle theorem states that the opposite angles of a cyclic quadrilateral (a quadrilateral inscribed in a circle) must be supplementary. In a parallelogram, opposite angles are equal, which can only hold true if all angles are right angles, thus making the parallelogram a rectangle.
Three
A circumscribed polygon is a polygon all of whose vertices are on the circumference of a circle. The circle is called the circumscribing circle and the radius of the circle is the circumradius of the polygon.
A. The hexagon is circumscribed about the circle . D. Each vertex of the hexagon lies outside the circle . E. The circle is tangent to each side of the hexagon .