Circumscribed meaning is, a shape is restricted within any other shape. There is no circumvent for the inside figure to pass the outer figure. When we draw a figure around another figure, in such a way, that the outer figure which is surrounding the inside figure touches all its vertices, but doesn’t crosses it. The outer figure touches the maximum points of inside figure without crossing it. These shapes could be a circle, a square, a triangle, a rectangle or a quadrilateral.
The circle which passes through all the vertices of any given geometrical figure or a polygon, without crossing the figure. This is also termed as circumcircle.
In the below figure, you can see, a hexagon is inside a circle, whose all 6 vertices has been touched by the circle.
When a triangle surrounds any geometrical shape in such a way that it touches the inside figure at maximum points but never cut it, such a triangle is called circumscribed triangle.
We can see in the above, the triangle surrounds the circle in such a way that the sides of the triangle are tangent to the circle.
When a polygon surrounds any geometrical figure, in such a way, that all the vertices inside figure touch the sides of the polygon, then it is circumscribed. Polygon could be regular or irregular.
In the above figure, we can see a pentagon which surrounds a circle.
The circumscribed angle is the angle whose arms touches the circle to form a tangent to it.
In the figure above, we can see that, arms of angle are tangent to the circle. Hence, the given angle is circumscribed.
A quadrilateral which surrounds a circle, in such a way, that sides of the quadrilateral are tangent to the circle. Then it is said to be circumscribed.
We can see in the figure above quadrilateral circumscribing the circle. Here sides of the quadrilateral are tangent to the circle. When the two pairs of sum of opposite sides are equal then the quadrilateral can circumscribe about a circle. Not all quadrilaterals are circumscribed quadrilateral.
A hexagon which surrounds any geometrical figure such that all the vertices of the inside figure touches the sides of the hexagon, then it is called circumscribed. When a hexagon surrounds a circle such that the sides of the hexagon are tangent to the circle we call it is circumscribed hexagon of the circle.
In the above figure, you can see,hexagon is surrounding the circle. And each side is tangent to the circle.
A rectangle surrounding any geometrical figure it touches the inside figure at its maximum points, then it is said to be circumscribed.
In the above figure, we can see the rectangle is surrounding rhombus, touching all its 4 vertices.