What is the value of π approximated to two decimal places?

The value of π, which is a fundamental mathematical constant representing the ratio of a circle's circumference to its diameter, is approximately equal to 3.14 when rounded to two decimal places. This approximation is widely used in calculations involving circles and trigonometry because it captures the essence of π without requiring the usage of its more complex and infinite decimal expansion.

Choosing the approximation of 3.00 would lack precision, as it only captures an extremely limited range of the constant. Similarly, options like 3.16 and 3.12 do not align with the commonly accepted and precise value of π rounded to two decimal places. Therefore, utilizing 3.14 as the value of π offers an accurate representation sufficient for various practical applications. This is why it is the correct answer.