Question

What is the percent error in using $3.14$ as an approximation for $\pi$ (which is $3.14159265358979323846$...) ?

• A. $0.5\%$
• B. $0.05\%$
• C. $0.005\%$
• D. None of these

Answer 1

The correct option is B $0.05\%$

$\Rightarrow$ Here Approximate value of $\pi$ is $3.14$.

$\Rightarrow$ Exact value of $\pi$ is $3.141592$

$\Rightarrow$ $\%Error=\frac{|Approximatevalu-Exactvalue|}{|Exactvalue|}\times 100$

$\Rightarrow$ $\%Error=\frac{|3.14-3.141592|}{|3.141592|}\times 100$

$\Rightarrow$ $\%Error=0.05\%$