Considering the circle of the given equation, and comparing to the standard equation of a circle, it is found that the given circle has radius is of [tex]\frac{1}{5}[/tex].
What is the equation of a circle?
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the equation is given by:
[tex]\left(x + \frac{1}{5}\right)^2 + \left(y - \frac{2}{5}\right)^2 = \frac{1}{25}[/tex]
Hence, the radius is found as follows.
[tex]r^2 = \frac{1}{25}[/tex]
[tex]r = \sqrt{\frac{1}{25}}[/tex]
[tex]r = \frac{1}{5}[/tex]
More can be learned about the equation of a circle at https://brainly.com/question/24307696
