1. **Stating the problem:** Find the length of the hypotenuse $x$ of a right triangle where one leg is the radius of a circle with length 6, and the other leg outside the circle is 8. 2. **Understanding the setup:** The hypotenuse $x$ is the sum of the radius (6) and the outside segment (8). 3. **Formula used:** Since the hypotenuse is the sum of these two segments, we write: $$x = 6 + 8$$ 4. **Calculating $x$:** $$x = 14$$ 5. **Answer:** The length of the hypotenuse $x$ is 14.