If I have a circle with with an arc length of 31 in. and a radius of 12 in., then what is the angle in radians?
One radian would be the equivalent of talking the circle's radius and pressing it onto the circumference of the circle, curving it.
This circle's radius is 12 inches. So, I need to find how many 12-inch lines to line up along the circle to get a curve that is 31 inches long.
To do this, I can divide 31 by 12. (Remember this is the same as asking "how many 12's are in 31).
The answer is