Degree to radians. Express in terms of pi.?

Question

30 degrees.

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Answer 1 · 2018-07-03T11:37:59

$30^{\circ} = {(\frac{π}{6})}^{R}$ $30^circ=(pi/6)^R$

We know that ,

$180^{\circ} = π^{R}$ $color(red)(180^circ=pi^R$

So,

$30^{\circ} = {(\frac{π}{180} \times 30)}^{R}$ $30^circ=(pi/180xx30)^R$

$\Rightarrow 30^{\circ} = {(\frac{π}{30 \times 6} \times 30)}^{R}$ $=>30^circ=(pi/(30xx6)xx30)^R$

$\Rightarrow 30^{\circ} = {(\frac{π}{6})}^{R}$ $=>30^circ=(pi/6)^R$