A circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle?
The formula for the arc length of a circle is:
arc length = (central angle / 360) x 2πr
where r is the radius of the circle.
Plugging in the given values, we get:
arc length = (60/360) x 2π(6)
arc length = (1/6) x 12π
arc length = 2π
So the measure of the arc length associated with a central angle of 60° and a radius of 6 inches is 2π inches or approximately 6.28 inches.