Question

The value of π is equal to 3.141592653…………

Which one of the following is the most accurate approximation of $\pi$?

• A. 22/7
• B. 157/50
• C. 16/5
• D. 355/113

Answer 1

The correct option is D

355/113

$\pi$ = 3.141592653……..

$\frac{22}{7}$ = 3.142857 (Accurate to 2 decimal places)

$\frac{157}{50}$ = 3.14 (Accurate to 2 decimal places)

$\frac{16}{5}$ = 3.2 (Not accurate at all!)

$\frac{355}{113}$ = 3.141592920 (Accurate to 6 decimal places)

So, $\frac{355}{113}$ most accurate approximation of $\pi$. It is not used in calculations because it would make the calculations complex. We, at this level, assume $\pi$ to be equal to $\frac{22}{7}$.