Question

Which of the following points represent the more accurate value of $\pi$ on the number line?

• A. $Q$
• B. $R$
• C. $S$
• D. $P$

Answer 1

The correct option is A $Q$

Detailed step-by-step solution:
The general values of $\pi$ we use are $3.14$ and $\frac{22}{7}$ .
Decimal expansion of $\frac{22}{7}=3.\overline{142857}\simeq 3.14$ or we can say. $3<\pi <3.2$
So on this number line, $P$ is less than $3$ and comes between $2.5$ and $3.0$. $P$ cannot be close to $3.14$ and cannot represent $\pi$.
Points $R$ and $S$ are in between $3.5$ and $4.0$. It indicates points $R$ and $S$ are close to $3.6$ and $3.9$, respectively. They are not close to $3.1$ or $3.14$ and cannot represent $pi$ Point $Q$ is placed between $3.0$ and $3.5$. The point is approximately close to $3.1$ or $3.2$ on the number line.
So, point $Q$ is closer to $3.1$ or $3.14$ as compared to others. Hence, $Q$ is the more accurate representation of $\pi$.
So, option C is the correct answer.