Question

In a circle with radius 6, what is the measure (in degrees) of an arc whose length is 2π?

Answer 1

arc length = r*angle
\[2 \pi = 6 \theta \]
\[\theta = 2\pi/6 = \pi/3\]

Answer 2

the arc length of a circle is the product of the angle it subtends and the radius
meaning arc length = radius * angle
thus angle = arc length/radius
angle = 2*pi/6
angle = pi/3 or 60 degrees