# In a Unit Circle what do the radian values mean?

Oct 22, 2015

#### Explanation:

A unit circle, by definition, has a radius equal to 1 unit.

Also, 1 radian equals the length of the radius of the circle. So, for a unit circle , 1 radian = 1 unit.

If you measure the length around the entire unit circle (also known as the circumference ), it will equal $2 \pi$ radians or approximately 6.28 units.

Relating this to circumference of a unit circle :

$C = 2 \pi r = 2 \pi \left(1\right) = 2 \pi$ or 6.28 units

hope that helped