Question

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

Answer 1

2pi isn't equal to 1

Answer 2

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

Answer 3

I think you mean cos(2pi)=1

Answer 4

http://coolmath.com/precalculus-review-calculus-intro/precalculus-trigonometry/images/28-trigonometry-01.gif can you explain this for me, because it doesn't fully make sense...

Answer 5

do you know what the circumference is of a circle?

Answer 6

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

Answer 7

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

Answer 8

Brilliant. I really appreciate that explanation. :D

Answer 9

np