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LammettHash

1 degree is [tex]\dfrac\pi{180}[/tex] radians. So 14 degrees is [tex]\dfrac{14\pi}{180}=\dfrac{7\pi}{90}[/tex] rad.

Easy way to remember this: one complete revolution in a circle is 360 degrees. But it's also [tex]2\pi[/tex] radians. So the conversion rate is

[tex]\dfrac{2\pi\,\rm rad}{360^\circ}=\dfrac{\pi\,\rm rad}{180^\circ}[/tex]

i.e. for every [tex]\pi[/tex] radians there are 180º.

gmany

Answer:

[tex]\large\boxed{14^o=\dfrac{7\pi}{90}\ radians}[/tex]

Step-by-step explanation:

[tex]\text{The formula for conversion of degrees to radians:}\\\\1^o=\dfrac{\pi}{180^o}\ radians\\\\x^o=\dfrac{x\pi}{180}\ radians\\\\\text{We have}\ x=14^o.\ \text{Substitute:}\\\\14^o=\dfrac{14\pi}{180}=\dfrac{7\pi}{90}[/tex]

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