Which of the following is a simple closed curve but not a polygon?a)Tr...
Explanation:
A simple closed curve is a shape that starts and ends at the same point, without any self-intersections. It can be formed by connecting different points, but it cannot have any gaps or openings.
Polygon:
A polygon is a closed figure made up of line segments, where each line segment intersects exactly two others. It is formed by connecting three or more points in a specific order. Examples of polygons include triangles, squares, and pentagons.
Triangle:
A triangle is a polygon with three sides and three angles. It is a simple closed curve because it starts and ends at the same point and has no gaps or openings. Therefore, a triangle is a simple closed curve and a polygon.
Circle:
A circle is a curved shape that is completely round and has no corners or edges. It is formed by a set of points that are equidistant from a fixed center point. A circle is a simple closed curve because it starts and ends at the same point (the circumference) and has no gaps or openings. However, it is not a polygon because it does not consist of line segments connected at vertices. The curve of a circle is smooth and continuous.
Cone:
A cone is a three-dimensional shape that has a circular base and tapers to a point called the apex or vertex. It is not a simple closed curve because it is not a two-dimensional shape. A cone has a curved surface that cannot be represented by a single closed curve.
Conclusion:
Among the given options, only the circle (option B) is a simple closed curve but not a polygon. It is a closed curve that starts and ends at the same point and has no gaps or openings, but it is not a polygon because it does not consist of line segments connected at vertices.
Which of the following is a simple closed curve but not a polygon?a)Tr...
A circle is a simple closed curve because it has no sharp corners or self-intersections, but it is not a polygon because it doesn't have straight sides.
To make sure you are not studying endlessly, EduRev has designed Class 4 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 4.