Circles -- transform degrees in minute

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Discussion Overview

The discussion revolves around the conversion of angles from degrees and minutes to radians, specifically focusing on the division of 10800 by 1110. Participants explore methods of simplification and the relationships between these measurements.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants reference the equivalence of 180 degrees to π radians and 10800 minutes to π radians as a basis for their calculations.
  • There is a proposed ratio involving degrees and minutes, leading to a division of 10800 by 1110, which some participants seek to simplify.
  • Questions arise about the specific nature of the simplification being sought, with some participants asking whether the goal is to convert angles into minutes or radians.
  • One participant suggests using the method of successive division for simplification, though the exact application remains unclear.
  • Another participant attempts to clarify the transition from the fraction 10800/1110 to 360/37, indicating that both numbers can be factored by 30.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the specific simplification being requested and whether the focus is on converting to minutes or radians. There is no consensus on the exact method or goal of the simplification process.

Contextual Notes

Some assumptions about the definitions of degrees, minutes, and their conversions to radians are present, but they are not explicitly stated. The discussion includes unresolved questions about the simplification process and the relationships between the various angle measures.

NickTesla
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A minha pergunta é na divisão 10800/1110
My question is in the division 10800/1110 ?
math.png


m.png
 
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They started with the notion that 180 degrees = ##\pi## radians

and then the equivalent notion that 10800 minutes = ##\pi## radians

and then they construct a ratio 180 deg / (18 deg 30 min) = (10800 min) / (1100 min) = 360 / 37 = ##\pi## / x radians

and then solve for x.
 
jedishrfu said:
They started with the notion that 180 degrees = ##\pi## radians

and then the equivalent notion that 10800 minutes = ##\pi## radians

and then they construct a ratio 180 deg / (18 deg 30 min) = (10800 min) / (1100 min) = 360 / 37 = ##\pi## / x radians

and then solve for x.
My question is to simplify,
how do I simplify? Method of successive division!
si.png
m.png
 
Last edited by a moderator:
NickTesla said:
My question is to simplify,
how do I simplify?
Simplify what?
I don't see anywhere in your thread what it is you're trying to do.
Is the problem to convert 18° 30' into minutes? Or is it to convert this angle measure to radians?

NickTesla said:
Method of successive division! View attachment 105311 View attachment 105312
 
Mark44 said:
simplify what?
I do not see anywhere in its segment that is that you are trying to do.
Is the problem to convert 18 ° 30 'in minutes? Or is it to convert the measure of the angle in radians?
I'm trying to understand the simplification,
should be 30 to 10800 and 30 to 1110 ,lol
Thank you for letting me know
 
Last edited by a moderator:
Mark44 said:
Simplify what?
I don't see anywhere in your thread what it is you're trying to do.
Is the problem to convert 18° 30' into minutes? Or is it to convert this angle measure to radians?
NickTesla said:
I'm trying to understand the simplification,
should be 30 to 10800 and 30 to 1110 ,lol
You didn't answer my question. What are you trying to convert?

Is your question how they went from ##\frac{10800}{1110}## to ##\frac{360}{37}##? If so, 1080 = 30 * 360, and 1110 = 30 * 37.
 
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Mark44 said:
You didn't answer my question. What are you trying to convert?

Is your question how they went from ##\frac{10800}{1110}## to ##\frac{360}{37}##? If so, 1080 = 30 * 360, and 1110 = 30 * 37.
Perfect is 30
 
Thank you!
 

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