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Lerok [7]
3 years ago
5

Convert 14° into radians manually (no calculator) please show work. Thank you in advance!!

Mathematics
2 answers:
Inessa [10]3 years ago
7 0

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

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

\dfrac{2\pi\,\rm rad}{360^\circ}=\dfrac{\pi\,\rm rad}{180^\circ}

i.e. for every \pi radians there are 180º.

andriy [413]3 years ago
5 0

Answer:

\large\boxed{14^o=\dfrac{7\pi}{90}\ radians}

Step-by-step explanation:

\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}

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