Step-by-step explanation
First, we will have to get the diameters of the circles
A has a diameter of 8 units or a radius of 4 units
B has a diameter of 6 units or a radius of 3 units
Also, we have that Circle A has the equation
![(x+4)^2+(y-4)^2=4^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/i256ctbpgy3j0fu1gg06ceyk5lee377xk0.png)
For circle B
![\left(x-4\right)^(2)+\left(y-4\right)^(2)=3^(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/uoder9jmac6gu5fdwrz2nuow2xmbrhp5o9.png)
Thus, we have
Hence, we can establish that the relationship between circles A and B will be:
Circle A was dilated by a factor of 0.75 about the centre (28,4)