How do I convert 0.25412 radians to degrees, minutes and seconds?

1 Answer
Jun 13, 2015

First multiply by $\frac{180}{\pi}$ to get the value in degrees.

Multiply the fractional part by $60$ to get the minutes.

Then multiply the remaining fractional part by $60$ to get the seconds.

Explanation:

$0.25412 \cdot \frac{180}{\pi} \cong 14.56$

$0.56 \cdot 60 = 33.6$

$0.6 \cdot 60 = 36$

So $0.25412$ radians is ${14}^{o} 33 ' 36$"