Pi Day, celebrated worldwide to recognise the mathematical constant pi (approximately 3.14), is observed every year on which date?

Introduction / Context:
Pi Day is an internationally popular observance among students, teachers, and mathematics enthusiasts. It celebrates the mathematical constant pi, which represents the ratio of a circle's circumference to its diameter and is approximately equal to 3.14. The date chosen for Pi Day reflects this numerical approximation. Competitive examinations that include questions on science and general awareness sometimes ask about this day to test both mathematical familiarity and ability to connect numbers with dates.

Given Data / Assumptions:

• The question refers to Pi Day, associated with the constant pi (3.14).
• Four dates are provided: 13 March, 14 March, 3 March, and 4 March.
• We assume that the observance date has been chosen to visually match the first digits of pi in month and day format.
• The question asks for the annual date, not a one time celebration year.

Concept / Approach:
The key concept is to link the digits of pi with a calendar date. In month day format used in some countries, 3.14 corresponds to March 14, because March is the third month and the day is 14. Therefore, Pi Day is celebrated on 14 March each year. The approach is to recognise that the closest match to 3.14 is 14 March, not 13 March, 3 March, or 4 March. Understanding this numerical connection makes it easy to remember the correct date.

Step-by-Step Solution:
Step 1: Recall that pi is approximately equal to 3.14.Step 2: Interpret 3.14 as a month and day pattern where 3 represents March and 14 represents the day.Step 3: From this reasoning, deduce that Pi Day should be on 14 March.Step 4: Look at the options: 13 March, 14 March, 3 March, and 4 March.Step 5: Select 14 March as it exactly reflects the 3.14 pattern of the constant pi.

Verification / Alternative check:
You can verify by remembering that Pi Day has become popular in schools and universities worldwide, with many events, competitions, and even special pies being shared on 14 March. News and social media posts every year on this date highlight the playful connection between the digits of pi and the date 3 14 written as March 14. This widespread recognition of 14 March as Pi Day confirms that it is the correct choice among the given options.

Why Other Options Are Wrong:
13 March and 4 March do not correspond to the digits 3.14 in sequence, so they do not match the logic behind Pi Day. 3 March uses the month number 3 but does not incorporate the 0.14 part of the decimal approximation, making it an incomplete and incorrect representation. These dates are included as distractors for candidates who know only that Pi Day is in March but are uncertain of the exact day. Only 14 March is consistent with the numerical symbolism of pi.

Common Pitfalls:
A common pitfall is to remember only that Pi Day occurs in early or mid March and guess the exact date incorrectly. Some students may even think of 3 March because it starts with the digit 3, ignoring the crucial .14 part of the approximation. To avoid such mistakes, focus on the complete pair 3.14 and translate it carefully into March 14. Practising with similar date number associations helps you become more confident in these kinds of questions.

Final Answer:
Pi Day is observed every year on 14 March.