Question

Question #d4be9

Answer 1

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

Explanation:

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..