1. **Problem Statement:** A chord of length 16 cm is drawn in a circle with radius 10 cm. We need to find the distance from the center of the circle to the chord. 2. **Formula and Concept:** The distance $d$ from the center of the circle to the chord can be found using the right triangle formed by the radius, half the chord, and the distance from the center to the chord. Using the Pythagorean theorem: $$d = \sqrt{r^2 - \left(\frac{c}{2}\right)^2}$$ where $r$ is the radius and $c$ is the chord length. 3. **Substitute the values:** $$r = 10, \quad c = 16$$ $$d = \sqrt{10^2 - \left(\frac{16}{2}\right)^2} = \sqrt{100 - 8^2} = \sqrt{100 - 64}$$ 4. **Calculate:** $$d = \sqrt{36} = 6$$ 5. **Interpretation:** The distance from the center of the circle to the chord is 6 cm. **Final answer:** 6 cm