Question

How do you convert the following angle measurements in degrees into radians? `630^circ, 195^circ,-330^circ,165^circ`

Answer 1

(see below)

Explanation:

A complete circle is `360^@` or `2pi` radians.

Therefore `360^@=2pi` (radians)

`rarrcolor(white)("XXXXX")1^@=(2pi)/360` (radians)#

1)`color(white)("XXX")630^@=630xx(2pi)/180 = 7pi` (radians)#

2)`color(white)("XXX")195^@=195xx(2pi)/360=13/6pi` (radians)

3)`color(white)("XXX")-330^@=(-330)xx(2pi)/360=(-11/6)pi` (radians)

4)`color(white)("XXX")165^@=165xx(2pi)/360=11/30pi` (radians)