The terminal side of an angle $\theta$ in standard position passes through the point $(-2,-5)$. Use the figure to find the following value.
\[
r=
\]
(Type an exact answer in simplified form. Rationalize all denominators.)

Step 1 ：The terminal side of an angle \(\theta\) in standard position passes through the point (-2,-5). The value of r is the distance from the origin (0,0) to the point (-2,-5).

Step 2 ：We can use the Pythagorean theorem to calculate this distance. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Step 3 ：In this case, the hypotenuse is the line segment from the origin to the point (-2,-5), and the other two sides are the line segments from the origin to the point (-2,0) and from the point (-2,0) to the point (-2,-5). The lengths of these two sides are 2 and 5, respectively.

Step 4 ：Let's denote the coordinates of the point as (x, y), so we have x = -2 and y = -5.

Step 5 ：By substituting these values into the Pythagorean theorem, we can calculate the value of r.

Step 6 ：Final Answer: The value of r is \(\boxed{5.385164807134504}\).