Final answer:
The value of π is found by dividing the circumference of the circle by its diameter. Given the circumference is 25.12 feet and the diameter is 8 feet, the best expression for π is 3.14, option 1).
Step-by-step explanation:
The student has asked which expression best represents the value of π given that the circumference of a circular rug is about 25.12 feet and its diameter is 8 feet. To find the value of π, we use the formula for the circumference of a circle, which is C = πd where C is the circumference and d is the diameter. Thus, π can be solved for by dividing the circumference by the diameter.
π = C/d
Plugging in the given values, we get:
π = 25.12 feet / 8 feet
π = 3.14
Therefore, the expression that best represents the value of π is 1) 3.14.