Chapter 12, Problem 10CR

To determine

To calculate:The accurate approximation of $\pi$ .

Answer to Problem 10CR

Theaccurate approximation of $\pi$ is $3\frac{1}{7}$ .

Explanation of Solution

Given information:

The numbers of $3.14$ and $3\frac{1}{7}$ are frequently used as approximations of $\pi$ .

Calculation:

The value of $3\frac{1}{7}$ is $\frac{22}{7}=3.1428$ and another value is $3.14$ .

The value of $\pi$ is $3.14159$

The value of $3\frac{1}{7}$ , i.e. $3.1428$ is more accurate than $3.14$ .