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# What is center of dilation in mathematics?

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In mathematics, the term "center of dilation" refers to a constant point on a surface from which all other points are either enlarged or compressed. The center of dilation and the scale factor comprise the two properties of a dilation.

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A dilation is a type of transformation of a two-dimensional geometric figure that yields an image, which is similar in form to the initial object but varies in size. The scale factor determines the degree or amount to which the object is increased or decreased. The origin of a coordinate plane with the points x = 0 and y = 0 is the most common center of dilation in geometry.

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## Related Questions

• A:

A circle is defined as the set of all points in a plane that are the same distance from another point, which is called the center of the circle. When these points are connected, they form a closed curve. The equation for a circle on the Cartesian coordinate plane is x squared plus y squared equals r squared, where r is the radius of the circle.

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The center of a circle can be determined by finding the point of intersection of the perpendicular bisectors of two of its chords. This is accomplished using a compass and a ruler.

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The center of a circle is simply referred to as the center. However, it is often given the distinction of "0" in drawings and formulas of circles. The center of a circle is defined as the point from which all points of the circumference are equidistant.