Introduction to Degrees, Minutes, and Seconds

TL;DR

Angles can be measured in minutes and seconds, with one minute being one sixtieth of a degree and one second being one sixtieth of a minute.

Transcript

hi everyone in this video we're going to continue our discussion of angles and their measures so angles whose measures are not whole numbers can be written in terms of minutes and seconds so let me go ahead and write that down so angles whose measures are not whole numbers so are not whole numbers can be written in terms of minutes and seconds can ... Read More

Key Insights

• 🍉 Angles with non-whole number measures can be written in terms of minutes and seconds.
• 🟰 One minute is equal to one sixtieth of a degree, while one second is one sixtieth of a minute.
• 🥡 It takes 60 minutes to make one degree, and 3600 seconds to make one degree.
• ⌛ The relationship between seconds, minutes, and degrees is similar to that of time.
• 🗂️ Conversion to decimal degrees involves dividing minutes by 60 and seconds by 3600.
• 😑 Expressing angles in minutes and seconds provides more precise measurements.
• 🍉 Understanding angle measurement in terms of time can help with conceptualization.

Questions & Answers

Q: How are angles with non-whole number measures written in terms of minutes and seconds?

They can be expressed using the notation of minutes (represented by a '-'), with one minute being one sixtieth of a degree. For example, 45.5 degrees can be written as 45 degrees 30 minutes.

Q: How many minutes are required to make one degree?

It takes 60 minutes to make one degree. This is similar to how hours are divided into minutes.

Q: What is the relationship between seconds and minutes in angle measurement?

One second is one sixtieth of a minute. In terms of degrees, one second is equal to 136/100 (or 0.036) degrees.

Q: How many seconds are needed to make one hour in angle measurement?

Since it takes 60 minutes to make one hour, and 60 seconds to make one minute, it would require 3600 seconds to make one hour in terms of degrees.

Summary & Key Takeaways

• Angles that are not whole numbers can be expressed in terms of minutes and seconds.

• One minute is equal to one sixtieth of a degree, while one second is one sixtieth of a minute.

• It takes 60 minutes to make one degree, and 3600 seconds to make one degree.