To find the radius of the circle given the chord length and the perpendicular distance from the center of the circle to the chord, we can use the following approach:

1. Use the Pythagorean Theorem:

Let \( r \) be the radius of the circle, and let the length of the chord be \( 6.6 \) meters. The perpendicular distance from the center of the circle to the chord is \( 5.6 \) meters. The midpoint of the chord splits the chord into two equal segments of \( \frac{6.6}{2} = 3.3 \) meters each.

2. Apply the Pythagorean Theorem in the right triangle formed:

In the right triangle, one leg is the distance from the center to the chord (\( 5.6 \) meters), the other leg is half of the chord length (\( 3.3 \) meters), and the hypotenuse is the radius \( r \).

According to the Pythagorean theorem:
\[
r^2 = \left(\text{distance from the center to the chord}\right)^2 + \left(\text{half of the chord length}\right)^2
\]
\[
r^2 = 5.6^2 + 3.3^2
\]
\[
r^2 = 31.36 + 10.89
\]
\[
r^2 = 42.25
\]
\[
r = \sqrt{42.25} = 6.5
\]


The radius of the circle is 6.5 meters.

The correct answer is C. 6.5m.