Q:
# What is center of dilation in mathematics?

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### Quick Answer

**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.

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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Q:
## How do you find the foci of an ellipse?

A:To find the foci of an ellipse, find the center of the ellipse, and determine the distance from the center to the farthest point and the closest point on the boundary. Then, use the formula F = square root of "x" squared minus "y" squared.

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Q:
## What are some properties of a circle?

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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## How do you find the center of a circle?

A: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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Q:
## How do you find the arc of a circle?

A:To find the arc of a circle, divide the angle subtended at the center of the arc by 360 degrees, then multiply the answer by the circumference of the circle. You need to know the value of pi and must have a protractor to complete this task.

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