1. The problem states that the distance around the edge of a circular swimming pool is 26 m. This distance is the circumference of the circle. 2. The formula for the circumference $C$ of a circle is: $$C = 2\pi r$$ where $r$ is the radius of the circle. 3. We need to find the distance from the edge of the pool to the centre, which is the radius $r$. 4. Rearranging the formula to solve for $r$: $$r = \frac{C}{2\pi}$$ 5. Substitute the given circumference $C = 26$ m: $$r = \frac{26}{2\pi}$$ 6. Simplify the denominator: $$r = \frac{26}{\cancel{2}\pi} = \frac{26}{2\pi}$$ 7. Calculate the value: $$r = \frac{26}{2 \times 3.1416} = \frac{26}{6.2832} \approx 4.138$$ 8. Round the answer to 1 decimal place: $$r \approx 4.1$$ m Therefore, the distance from the edge of the pool to the centre is approximately 4.1 m.