Answer :
Solution:
The equation in standard form with center (h,k) and radius r is given by the following formula:
[tex](x-h)^2+(y-k)^2=r^2[/tex]In this case, note that we have the following data:
(h, k) = (8, 10)
r = 2/5 = 0.4
Replacing this data into the standard equation of a circle, we obtain:
[tex](x-8)^2+(y-10)^2=(\frac{2}{5})^2[/tex]So that, we can conclude that the correct answer is:
[tex](x-8)^2+(y-10)^2=(\frac{2}{5})^2[/tex]