How do you find 47^@30' in radians?

Jan 28, 2017

${47}^{\circ} 30 '$ is equal to $\frac{19 \pi}{72} = 0.829$ radians

Explanation:

As there are $60$ minutes, writtten as $60 '$, in each degree,

Therefore, ${47}^{\circ} 30 ' = {\left(47 + \frac{30}{60}\right)}^{\circ} = {47.5}^{\circ}$

Now as ${180}^{\circ}$ is equal to $\pi$ radians

${1}^{\circ}$ is equal to $\frac{\pi}{180}$ radians

and ${47.5}^{\circ}$ is equal to $\frac{\pi}{180} \times 47.5 = \frac{19 \pi}{72} = 0.829$ radians