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# Curve

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A **curve** is a line that turns or bends. A curved line is never straight, and a curved surface is a surface that is never flat. Some curves can be drawn on paper, but some curves, like a helix, can only be seen in 3-D. A circle is a curve that can be described with the formula *x*^{2} + *y*^{2} = *r*^{2}. *x* and *y* are used as in a Cartesian coordinate system, and *r* is the radius of the circle (distance from the center to the outside). Many other curves can also be described with a formula like that.