# Question #d4be9

Oct 9, 2016

1.2 radian = ${68}^{o} 45 ' 18 ' '$, nearly..

#### Explanation:

The conversion factor for degrees is $\frac{180}{\pi}$

If the $\angle R$ is in radian measure, the number of degrees D in R

is the integer part , or briefly. $I N T \left(180 \frac{R}{\pi}\right)$.

If the proper fraction left as remainder in this division is ${f}_{D}$,

the number of minutes M in ${f}_{D}$ is $I N T \left(60 {f}_{D}\right)$.

If the proper fraction left as remainder in this division is ${f}_{M}$,

the number seconds S in ${f}_{M}$ is $I N T \left(60 {f}_{M}\right)$.

If the remainder here is >=0.5, add 1 to S.

The calculator algorithm for a sample R = 1.2 radian follows.

[ ] is for the key on the keyboard.

 [.]  [X]    [$\div$] [SHIFT] [EXP] [=]

Note (record) the integer part R=68. Then continue.

[$-$]   [=] [X]  

Note the integer part M = 45. Then continue.

[$-$]   [=] [X]   [=]

Note the integer part S = 17.

Finally, fractional part in display is .7...>.5. So S = 18.

The answer is 1.2 radian = ${68}^{o} 45 ' 18 ' '$, nearly..