Final answer:
Option A) 3.31 is the number closest to the value of π (pi) since π is approximately 3.14. The significance of maintaining consistent significant figures is demonstrated in an example calculation for the area of a circle.
Step-by-step explanation:
The number closest to π (pi) from the options provided is A) 3.31. π is a mathematical constant representing the ratio of a circle's circumference to its diameter and is approximately equal to 3.14. Therefore, when comparing the options, A) 3.31 is closest to the actual value of π, which is 3.1415927...
To illustrate, using the formula A = πr² for the area of a circle with a radius of 1.2 meters and π approximated to eight digits, the area calculation would yield 4.5238934 m². However, due to the radius having only two significant figures, the result must be rounded to 4.5 m² to maintain consistent significant figures.