Approximation/Examples

Examples of Approximations

$\dfrac {22} 7$ as an Approximation for Pi

$\dfrac {22} 7$ is a convenient approximation to $\pi$:

$\dfrac {22} 7 = 3 \cdotp \dot 14285 \dot 7$

$x$ as an Approximation for $\sin x$ for small $x$

For small values of $x$ measured in radians:

$\sin x \approx x$

$1.414$ as an Approximation for $\sqrt 2$

$1 \cdotp 414$ is an approximation to $\sqrt 2$.