why is 2(pi) equal to 1 when we're looking at the unit circle?

Question

freckles · Answer

2pi isn't equal to 1

freckles · Answer

2*pi is approximately 6 something 
6>1 
so 6 cannot be 1
therefore 2pi cannot be 1

freckles · Answer

I think you mean cos(2pi)=1

anonymous · Answer

freckles · Answer

do you know what the circumference is of a circle?

freckles · Answer

Circumference of a circle is 2*r*pi
where r is the radius of the circle
in the unit circle the radius=1
so the circumference is 2*pi

freckles · Answer

so going half way around the circle would give an arclength of 2pi/2=pi

anonymous · Answer

Brilliant. I really appreciate that explanation. :D

freckles · Answer

np