Final answer:
Lloyd walks approximately 18.85 miles when he makes 3 laps around a circular pond with a diameter of 2 miles.
Step-by-step explanation:
Lloyd is walking his dog around a circular pond which has a diameter of 2 miles. To determine how far Lloyd walks for 3 laps around the pond, we first need to calculate the circumference of the pond. Since the diameter is 2 miles, the radius (R) of the pond is half of that, which is 1 mile. The circumference (C) of a circle is given by the formula C = 2πR. Substituting the radius in the formula gives us C = 2 × π × 1 mile.
The value of π (pi) is approximately 3.1415926. Multiplying this value by 2 gives us the circumference of the pond as approximately 6.2831852 miles. As Lloyd does 3 laps around the pond, the total distance he walks is 3 × C, which simplifies to 3 × 6.2831852 miles = 18.8495556 miles.
Therefore, Lloyd walks approximately 18.85 miles when he makes 3 laps around the pond.