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360 degrees circle

  • Thread starter Dousin12
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  • #1
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Im doing a proof. For instance all sums of a triangle add upp to 180 degrees. But how to i motivate that all arcs on a circle add up to 360 degrees.

A part of my proof is that Arc A + B + C = 360 degrees.

But i dont know what to write in the column that motivates every step. ! Like a lap is 360 degrees dosent sound good enough
 

Answers and Replies

  • #2
Merlin3189
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Usually we just say, angles at a point sum to 360o
I think that is a definition of degrees.
 
  • #3
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Im doing a proof. For instance all sums of a triangle add upp to 180 degrees. But how to i motivate that all arcs on a circle add up to 360 degrees.

A part of my proof is that Arc A + B + C = 360 degrees.

But i dont know what to write in the column that motivates every step. ! Like a lap is 360 degrees dosent sound good enough
In future posts, please don't delete the homework template. Its use is required.
 
  • #4
pasmith
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Usually we just say, angles at a point sum to 360o
I think that is a definition of degrees.
Very much this.
 
  • #5
Math_QED
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Very much this.
This is true. We have chosen to use a 360degree system for a circle but other systems like a 400 degree system (have) exist(ed) as well.
 

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