How do you know if a polygon is inscribed or circumscribed?[br][br]If all of the vertices of a polygon lie on a circle, the polygon is inscribed in the circle and the circle is circumscribed about the polygon. The polygon is an inscribed polygon and the circle is a circumscribed circle.

What is an inscribed circle?[br][br]Inscribed Circle: An inscribed circle is a circle within a polygon, such that the polygons sides are tangents of the circle. For instance, an example of a circle inscribed within a triangle is shown in the image. When a circle is inscribed within a polygon, each side of the polygon will intersect the circle at exactly one point.

Does every circle have a polygon?[br][br]For any n ⩾ 3, every circle has an inscribed regular polygon with n sides, and every regular polygon may be inscribed in some circle (referred to as its circumcircle). Q.5. Why is a circle not a polygon? Ans: A polygon is not a circle. A polygon is a closed figure on a plane made up of a finite number of end-to-end line segments.

What is the difference between perimeter and inscribed circles?[br][br]Perimeter: The perimeter of a polygon is equal to the sum of all of the side lengths of the polygon. Inscribed Circle: An inscribed circle is a circle within a polygon, such that the sides of the polygons are tangents of the circle. For instance, an example of a circle inscribed within a triangle is shown in the image.