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- A curve is defined as a smoothly- flowing continuous line that has bent. It does not have any sharp turns. The way to identify the curve is that the line bends and changes its direction at least once.
byjus.com/maths/curve/Curve - Meaning, Definition, Shape, Types and Examples - BYJU'S
A shape made of curves is called a curved shape. A curved shape can be two-dimensional, like circles, ellipses, parabolas, and arcs. Curved shapes can also be three-dimensional figures like spheres, cones, and cylinders.
A curve is a shape or a line which is smoothly drawn in a plane having a bent or turns in it. For example, a circle is an example of curved-shape. In Mathematics, Geometry is a branch that deals with shapes, sizes, and the properties of figures.
Remember: A rectangle is a shape of four lines (AB, BC, CD, and DA) of which the corners (ABC, BCD, CDA, and DAB) form right angles. Mathematicians understand the word curve as: Any shape that can be drawn without lifting “the pen”. (The actual mathematical definition is even more complicated.)
In mathematics—namely geometry—and in real life, geometric shapes are two or three-dimensional figures that can be recognized and categorized based on a specific outline/boundary and other attributes including curves, lines, and angles.
May 23, 2023 · A curved line or shape can be understood as the path traced by the continuous motion of a point that changes its direction at least once without any sharp turns. You can also understand curves as the patterns that can be drawn without lifting a pen or paper.
- In a curve line, the path traced by the continuous motion of a point changes its direction at least once without any sharp turns.
- The curved surface area is expressed as the area of the curved surface only, excluding the area of the flat surfaces of a figure or an object
- The length of a curved line or surface cannot be measured by a measuring scale. In such a case a measuring tape or thread is used to measure the le...
- The arc length is expressed as the interspace between the two points along a section of a curve. If f(x) is a given function over the interval [a,b...
- The formula to obtain the area of a given curve=Area = \(\int_a^by.dx=\int_a^bf\left(x\right).dx\).
Nov 4, 2024 · Curved shapes are composed of continuous curved lines. 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.
A curve is a continuous line that flows smoothly and without abrupt turns. A curve can be identified easily by observing if it bends and modifies its course at least once. The examples of geometric shapes in which curves can be observed are circles, semi-circles, spheres, and so on.
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