# How do you find, to the nearest minute, the angle whose measure is 3.45 radians?

Mar 6, 2018

color(green)(3.45^c = 197^@ 40’

#### Explanation:

Conversion of radians to degrees and degrees to radians is given by the formula

$D = \left(\frac{R}{\pi}\right) \cdot 180$ where D = degrees, R = racism.

$D = \frac{3.45 \cdot 180}{\pi} = {197.67}^{\circ}$

1^@ = 60’

Hence 0.67^@ = 0.67 * 60 = 40’

:.color(green)( 3.45^c = 197^@ 40’