Final answer:
To find the distance from the edge of the pool to the center, we can use the formula for the circumference of a circle and solve for the radius.
Step-by-step explanation:
To find the distance from the edge of the pool to the center, we need to find the radius of the circular pool. The distance around the pool is called the circumference, which is given as 39.25 meters. The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Rearranging the formula, we have r = C / (2π). Plugging in the given circumference, we get r = 39.25 / (2π).
Using the value of π as approximately 3.14, we can evaluate r. r = 39.25 / (2 * 3.14) = 6.25 meters. Therefore, the lifeguard would have to walk a distance of 6.25 meters from the edge of the pool to reach the center.