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What is a simple closed curve called?

A simple closed curve is a type of geometric shape that comprises a single continuous line that forms a closed loop without any gaps or breaks in its shape. This type of shape is also known as a closed loop or a simple closed contour.

Some common examples of simple closed curves include circles, ellipses, and regular polygons such as triangles or squares. These shapes can be described in mathematical terms as the solution to a given equation.

A simple closed curve is also a closed plane curve, meaning that when traced out it will lie entirely within a single plane.

Which of the following figure are simple closed figure?

A simple closed figure is a shape with at least three line segments that connect back to the starting point without intersecting. Examples of simple closed figures are circles, squares, triangles, parallelograms, rectangles, octagons, and hexagons.

All of the following figures are simple closed figures: Circle, Square, Triangle, Parallelogram, Rectangle, Octagon, and Hexagon.

Is a closed figure with 5 sides?

A closed figure with 5 sides is known as a pentagon. A pentagon is a polygon that is comprised of five sides and five angles. It is one of the most common shapes in geometry, and it is important in math as a basis for understanding more complex shapes.

Pentagonal shapes are often seen in architecture, such as in the design of public buildings. They are also seen in nature, such as in starfish and flowers.

Which type of curves are polygons?

Polygons are closed, two-dimensional shapes that are composed of multiple straight line segments that are connected end-to-end. The number of sides of the polygon dictates the type of curve that is created.

For example, when three or more line segments are connected together, the result is a triangle. Triangles are regular polygons, meaning all sides and angles of the triangle are equal. When four straight line segments are connected, the result is a quadrilateral, which is also a regular polygon, with all sides and angles of the same size.

A pentagon has five sides and a hexagon has six sides. These polygons are also regular polygons. When a polygon has more than six sides, it is referred to as an irregular polygon. Irregular polygons can contain sides and angles of various sizes, and they create interesting curves.

All polygons, whether regular or irregular, consist of multiple straight lines; therefore, they are not considered curve shapes.

Are all closed curves polygons?

No, not all closed curves are polygons. A polygon is a closed shape made of straight line segments, but a closed curve can take any shape and does not necessarily need to be made of straight line segments.

Examples of closed curves that are not polygons include circles, ellipses, spirals, arcs, and parabolas.

Resources

  1. Simple Closed Curves | Collection of Curves – Math Only Math
  2. Given here are some figures. Classify each of them … – Cuemath
  3. Which one of these is a simple closed curve? – Byju’s
  4. The simple closed curves that are made up of – Byju’s
  5. A simple closed curve made up of only … – Vedantu