Question

An approximate value of a number of seconds in an year is $\pi \times {10}^7$. The % error in this value is :

• A. 0.5%
• B. 8%
• C. 4%
• D. 15%

Answer 1

Answer: (A)

0.5%

% error ={(actual - experimental) / actual} $\times 100$

So, $\frac{\left(365.24\right(24\left)\right(60\left)\right(60)-\pi ({10}^7\left)\right)}{\left(365.24\right(24\left)\right(60\left)\right(60\left)\right)}\times 100=0.44621\%\approx 0.5\%$