How do you convert $20^{\circ}$ $20^circ$ into radians?

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How do you convert $20^{\circ}$ $20^circ$ into radians?

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Answer 1 · 2017-01-12T10:20:38

$\frac{π}{9}$ $pi/9$

Explanation:

We can convert degrees into radians (and radians to degrees) by remembering that $180^{o} = π radians$ $180^o=pi " radians"$ . We can set up a ratio from this relationship to find any measure we need.

$\frac{π}{180^{o}} = \frac{x}{20^{o}}$ $pi/180^o=(x)/20^o$

$20^{o} π = (x) (180^{o})$ $20^opi=(x)(180^o)$

divide through by $180^{o}$ $180^o$ to get:

$\frac{20^{o} π}{180^{o}} = x$ $(20^opi)/(180^o)=x$

$x = \frac{π}{9}$ $x=pi/9$

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How do you convert $20^{\circ}$ $20^circ$ into radians?

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