Final answer:
The digit found at the 46th decimal place of Pi is 3. Pi is an irrational number with a non-repeating infinite decimal expansion, and counting 46 places from the decimal point reveals the presence of the digit 3. This characteristic of Pi underscores its significance in various mathematical and scientific contexts.Thus,the correct option is C) 3
Step-by-step explanation:
Pi (π) is an irrational number, which means it has an infinite number of non-repeating decimals. To find the digit at the 46th decimal place, we count from the decimal point. In Pi, the 46th decimal place is occupied by the digit 3. Pi's decimal representation is 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679... and so on.
Pi is commonly approximated as 3.14 for simplicity, but its true decimal expansion goes on indefinitely without a discernible pattern. The digit at any given decimal place cannot be predicted without a comprehensive calculation. In this case, counting 46 places from the decimal point brings us to the digit 3. This property of Pi is a fundamental aspect of its mathematical nature, making it a constant of great importance in geometry, trigonometry, and various other mathematical disciplines.
Understanding Pi's decimal expansion is crucial in diverse scientific and mathematical applications. While the vast majority of calculations involving Pi don't require knowledge of its decimals beyond a few places, the intricacies of its infinite decimal expansion contribute to the complexity and richness of mathematical exploration.
Therefore,the correct option is C) 3