Question #d4be9

Question

1835 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-09T15:50:12

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

The conversion factor for degrees is $180/pi$

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

is the integer part , or briefly. $INT(180R/pi)$ .

If the proper fraction left as remainder in this division is $f_D$ ,

the number of minutes M in $f_D$ is $INT(60f_D)$ .

If the proper fraction left as remainder in this division is $f_M$ ,

the number seconds S in $f_M$ is $INT( 60f_M)$ .

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.

[1] [.] [2] [X] [1] [8] [0] [ $-:$ ] [SHIFT] [EXP] [=]

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

[ $-$ ] [6] [8] [=] [X] [6] [0]

Note the integer part M = 45. Then continue.

[ $-$ ] [4] [5] [=] [X] [6] [0] [=]

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..