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# Center of Dilation Calculator

Dilation is the transformation which is an extreme, radical change in appearance. Provide the number of inputs, point value, and center of dilation to find the dilation point(s) using this online center of dilation calculator.

Number of Input

Dilation is the transformation which is an extreme, radical change in appearance. Provide the number of inputs, point value, and center of dilation to find the dilation point(s) using this online center of dilation calculator.

#### Formula:

OA' = A * O OB' = B * O OC' = C * O Where, O = Dilation A, B and C = Points

Dilation is the transformation of image from its original size to a different size without making any changes in its appearance/shape. In simple, it creates similar images, but in different sizes. It stretches or shrinks the original image. Center of Dilation refers to a Fixed point in the plane, in which all other points are contracted or expanded. A dilation that makes a larger image than the original is known as enlargement. A dilation that makes a smaller image than the original is referred as reduction. Use our simple online center of dilation calculator to find the value if the same with ease.

#### Example

The points of the A, B and C are (4,6), (6,7) and (9,8). Dilation is 2, what is the Center of Dilation of OA',OB',OC'?
OA' = (4*2 , 6*2) = (8 , 12)
Hence Centre of OA = (8 , 12)
OB' = (6*2 , 7*2) = (12 , 14)
Centre of OB =(12 , 14)
OC' = (9*2 , 8*2) = (18 , 16)
Center of OC =(18 , 16)