College

Thank you for visiting Chapter 10 Circles Angles and Arcs3 Convert tex 210 46 circ tex to degrees minutes and seconds tex begin aligned 210 46 circ 210 circ. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

Chapter 10: Circles, Angles, and Arcs

3. Convert [tex]210.46^{\circ}[/tex] to degrees, minutes, and seconds:

[tex]\[

\begin{aligned}

210.46^{\circ} & = 210^{\circ} + 0.46 \\

& = 210^{\circ} + (0.46 \times 60') \\

& = 210^{\circ} + 27.6' \\

& = 210^{\circ} + 27' + (0.6 \times 60'') \\

& = 210^{\circ} + 27' + 36'' \\

& = 210^{\circ} 27' 36''

\end{aligned}

\][/tex]

To convert to decimal degrees, divide the minutes by 60 and the seconds by 3600.

Answer :

To convert the angle 210.46 degrees into degrees, minutes, and seconds:

1. Separate the Degrees:
- Start with the whole number part of the angle, which is 210 degrees.

2. Convert the Decimal Part to Minutes:
- Take the decimal part, 0.46, and convert it to minutes by multiplying it by 60.
- [tex]\( 0.46 \times 60 = 27.6 \)[/tex]
- This means there are 27 whole minutes and a decimal part remaining.

3. Convert the Remaining Decimal Minutes to Seconds:
- For the decimal part of 0.6 minutes, convert it to seconds by multiplying by 60.
- [tex]\( 0.6 \times 60 = 36 \)[/tex]
- This gives you 36 seconds.

So, the angle 210.46 degrees is equivalent to 210 degrees, 27 minutes, and 36 seconds. Keep in mind that each conversion step involves multiplying by 60 to move from degrees to minutes, and from minutes to seconds.

Thank you for reading the article Chapter 10 Circles Angles and Arcs3 Convert tex 210 46 circ tex to degrees minutes and seconds tex begin aligned 210 46 circ 210 circ. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany