I have a question, it located in the description

Question

Circle A has a center at the origin and a point M on the circle at (1, 0). Circle B has a center at (1, 2) and a point N on the circle at (5, 2).

 

A translation and a dilation will be needed to prove that these circles are similar. Write the algebraic descriptions of the transformations:

Translation of (x, y) -->

with a dilation of (x, y) -->

Answer 1

Circle A is described by the equation x^2 + y^2 = 1

Circle B is (x-1)^2 + (y-2)^2 = r^2 where r is found by plugging in the point (5,2)

(5-1)^2 + (2-2)^2 = 4^2

Circle B has a radius 4 times the radius of Circle A. Circle B has an area = 16pi, Circle A has an area = pi

translate Circle B to the left by 1 and down by 2

dilate it by 1/16