Question

Question #6d7fc

Answer 1

As there are `2pi` radians in a circle, one rad = `360/(2pi)` degrees and one degree is `(2pi)/360` radians.

Explanation:

From here it is not too tricky ...

`69^@ 49’ 6” = 69.818^@`

So that is `69.818 xx (2pi)/360^@` rad

I get 1.219 rad

Answer 2

1.219 radians

Explanation:

Convert the minutes and second values to the equivalent decimal fractions of a degree.
We'll start with the least significant portion of the angle;

one arc second is `1/3600` of a degree, and you've got six of them, so that comes to: .0016666... (repeating) degrees.

An arc minute is `1/60` of a degree, and you've got 49 of them, which works out to: .8166666...(repeating) degrees.

69 + .81666 + .0016666 = 69.8183333....(repeating) degrees.

`(69.818333...)/360 = (radians)/(2pi)`

= 1.219 radians. (rounding)

GOOD LUCK