1. The problem is to find the value of \textbf{pi} (\pi), which is a mathematical constant representing the ratio of a circle's circumference to its diameter. 2. \pi is an irrational number, meaning it cannot be exactly expressed as a fraction and its decimal representation is infinite and non-repeating. 3. The approximate value of \pi is commonly used as $3.14159$. 4. One way to find \pi is by using the formula for the circumference of a circle: $$C = 2\pi r$$ where $C$ is the circumference and $r$ is the radius. 5. Rearranging the formula to solve for \pi gives: $$\pi = \frac{C}{2r}$$. 6. By measuring the circumference and radius of a circle, you can calculate an approximation of \pi. 7. Another method is using infinite series or geometric approaches, but the above is the simplest practical method. Final answer: \pi \approx 3.14159