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These shapes have only length and width, with no depth or thickness. They are characterized by their boundaries, which can be made up of straight sides or curved lines. Plane shapes examples include polygons (triangles, quadrilaterals), circles, and other curvilinear figures.
In plane geometry, the two-dimensional shapes are flat shapes and closed figures such as circles, squares, rectangles, rhombus, etc. In solid geometry, the three-dimensional shapes are cube, cuboid, cone, sphere and cylinder. We can observe all these shapes in our daily existence also.
- Simple Curve
- Non-simple Curve
- Open Curve
- Closed Curve
- Upward Curve
- Downward Curve
- Curved Line
- Curved Line Images
- Area Between The Curves
A curve that changes its direction, but it does not intersect itself. This type of curve is known as a simple curve. A simple curve may be open or closed.
The non-simple curve is a type of curve that crosses its path. It means the curve intersects itself while changing its direction.
A curve has two endpoints, and when it does not enclose the area within itself it is known as an open curve. Some of the examples of open curves are as follows.
A curve has no endpoints, and when it encloses the region or area will form, it is known as the closed curve. The type of curve is formed by joining the two endpoints of the open curve. The best example of closed curves are circles, ellipses, etc.
A curve that points towards the upward direction is called an upward curve. The upward curves are called concave upward or convex downward curves.
A curve that points towards the downward direction is called a downward curve. The downward curves are called concave downward or convex upward curves.
A curved line is a line that is not straight and is bent. If the curvature is not zero, then it is considered as a curve line. Generally, it is smooth and continuous.
We can observe many objects and things which are in the shape of a curved line. Some of them include railway track at the turning points, track of a roller coaster, paths of a road particularly for hill areas and so on. Apart from the real life examples, we can also observe the curve shaped lines in maths such as graph a quadratic polynomial, i.e. ...
Area is a quantity that expresses the region covered for the given interval in the two-dimensional surface or a planar lamina. To find the area between the given two curves, it uses the concept of integration. The area between the two curvescan be determined by calculating the difference between the integrals of two functions. The area between two ...
Jun 22, 2023 · A curve can be defined as the constant movement of points in all directions. It means that each and every possible shape can be classified as curves because all the shapes are formed by the movement of the points in one or multi-dimension. A curve can be an open curve or a closed curve. The figures below show an example of each type of simple ...
Nov 4, 2024 · For example, a circle, ellipse and oval are all curved shapes. Curved shapes have no fixed sides or vertices, and have a radius of curvature at each point around the shape. Curved shapes contrast with straight shapes, which are shapes composed of straight line segments.
Geometry shapes are figures containing line segments, curves, points, and angles further enclosed by a boundary. Each geometric shape has a name (circle, triangle, square, etc.), and they look like the objects we see in our daily lives.
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The circle is a shape that can be made by tracing a curve that is always the same distance from a point that we call the center. The distance around a circle is called the circumference of the circle.