Dilation Calculator

Please enter the coordinate value of the image and our calculator will know the coordinate value of the final Dilation image, with the help of the following step.

Dilation Calculator :- A free online dilation calculator is specifically designed to calculate the coordinates of the center point of the modified image after it gets transformed.

What Is Dilation?

In geometry,

“A significant transformation in the size of an image without changing its shape is known as dilation.

what is dilation

Types Of Dilation:

Usually, we have two types of dilation which are as follows:


When an image gets bigger just after the dilation is completed, it is known as enlargement.


If there is any squeeze in the image size after you execute dilation, then it is said to be a reduction.

Horizontal dilation:

This type of dilation happens for a function y = f(x) which dilates the function by a scale factor C using the following equation:


Vertical dilation:

The function y = f(x) dilates vertically with a scale factor C using the expression below:


What Is Scale Factor In Dilation?

“The ratio of the size of the modified image to the original one is known as the scale factor”. The scale factor defines the transformation in the size of the image.

How to Find the Scale Factor of a Dilation

Dilation Calculator – To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the pilgrimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states.

Enter the change in x and change in y of a length along with a shape or image pre and post-scaling to calculator the scale factor dilation

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Scale Factor Dilation Formula

The following formula is used to calculate the scale factor dilation of an image or shape.

SF = X2/X1 = Y2/Y1

What is time dilation?

Time dilation is the difference in a time interval calculated by two viewers who move comparable to each other. In respective, the higher your velocity is, the slower you move through time. However, this phenomenon is only truly evident at speeds close to that of light.

Time Dilation Calculator

Time Dilation Calculator equation

How much faster did the ‘stationary’ twin age? It is possible to calculate the exact value with the time dilation equation –

Δt' = γΔt = Δt / √(1 - v²/c²)

  • Δt' is the time that has passed as measured by the traveling observer (relative time);
  • Δt is the time that has passed as measured by a stationary observer;
  • v is the speed of the traveling observer;
  • c is the speed of light (299,792,458 m/s); and
  • γ is called the Lorentz factor.

Center of Dilation Calculator

Equations and Definitions for How to Find the Center of Dilation

Dilation: A dilation is a stretch and a shrink in the size and location of a figure or point.

Scale Factor: The scale factor in a dilation is the quantity by which the figure is stretched or shrunk.

Center of Dilation: The center of dilation is a connection point used to properly scale the dilation of a figure. Given a point on the pre-image, (x1,y1)(x1,y1), and a related point on the dilated image, (x2,y2)(x2,y2) , and the scale factor, kk, the area of the center of dilation, (xo,yo)(xo,yo) is 

(xo=kx1x2/k1, yo=ky1y2/k1)

Dilation FAQ

What do you mean by gravitational time dilation?

When a gravitational field generates a change in the time-lapse, then it is stated to be gravitational time dilation.

What is the difference between the scale factor ½ and 6?

If you multiply the scale factor ½ by the coordinates of the point of the actual image, the changed image will shrink for sure. But if you multiply the coordinates of the actual image with the scale factor of 6, the final image gets dilated.

What is the use of dilation in the field of chemistry?

In applications like thermal expansion and contraction, dilation has great significance as it is the change in the actual position.


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