# Thread: DMS for to decimal form?

1. ## DMS for to decimal form?

Is this considered trigonometry?

also help on these DMS forms.
say...

$29^o54^\prime21^{\prime\prime}$

$18^o36^\prime21^{\prime\prime}$

How would these be changed into decimal form and radian form?

2. Originally Posted by crosser43
Is this considered trigonometry?

also help on these DMS forms.
say...

$29^o54^\prime21^{\prime\prime}$

$18^o36^\prime21^{\prime\prime}$

How would these be changed into decimal form and radian form?
To change from DMS to decimal form, remember that
1 degree = 60 minutes = 3,600 seconds.

So convert by dividing by the conversion factors:
$29^o54^\prime21^{\prime\prime}$
\begin{aligned}
&= 29^{\circ} + \left(\frac{54}{60}\right)^{\circ} + \left(\frac{21}{3600}\right)^{\circ} \\
&\approx 29.906^{\circ}
\end{aligned}

To convert to radians, take the decimal form and multiply by $\frac{\pi}{180}$:
$29.906^{\circ}\left(\frac{\pi\;\text{rad}}{180^{\c irc}}\right) \approx 0.522\;\text{rad}$

I'll let you do the other one.

01

3. Thank you, i understand perfectly. Very helpful.