Answer to Question #233382 in Physics for Rey miralles

Question

What is the percent error in each of the following approximation of ? (a) 22/7 (b)
355/113

Answer 1

(a) The error is

$$\frac{\bigg(\frac{22}{7}-\pi\bigg)}{\pi}·100\%=0.04\%.$$

(b) The error is

$$\frac{\bigg(\frac{355}{113}-\pi\bigg)}{\pi}·100\%=(8.49·10^{-6})\%.$$