Acircle has a radius of 6 in. what is the exact length of an arc formed by a central angle measuring 45 degrees

To answer, determine first the circumference of the circle by the equation,
                                     C = 2πr
Substituting the known values,
                                      C = 2π(6 in.) = 12π in
Then, multiply this calculated value with the ratio of the intercepted central angle to the total revolution.
                           measure of arc = (12π in)(45°/360°)
                            measure of arc = 1.5π in
Thus, the measure of the arc is approximately 1.5π in.