Proofing that All Arcs of a Circle = 360 Degrees

[Dousin12]

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 don't know what to write in the column that motivates every step. ! Like a lap is 360 degrees dosent sound good enough

 

[Merlin3189]

Usually we just say, angles at a point sum to 360^o
I think that is a definition of degrees.

 

[Mark44]

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 don't 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.

 

[pasmith]

Usually we just say, angles at a point sum to 360^o
I think that is a definition of degrees.

Very much this.

 

[member 587159]

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.