The formula for the circumference \( C \) of a circle is given by:
\[ C = 2\pi r \]
where \( r \) is the radius of the circle. Given that the radius is \( 1.875 \) cm, we can calculate the circumference as follows:
\[ C = 2 \times \pi \times 1.875 \]
Using the value of \( \pi \) as approximately \( 3.14159 \):
\[ C \approx 2 \times 3.14159 \times 1.875 \approx 11.78 \text{ cm} \]
To the hundredths place, the circumference of the circle is approximately \( 11.78 \) centimeters.
Among the given options, the correct answer is:
11.78 centimeters.