find the length of an arc with a central angle measure of 27 degrees

To find the length of an arc with a central angle measure of 27 degrees, we can use the formula:

\text{Arc Length} = \left( \frac{\text{Central Angle}}{360^\circ} \right) \times (2\pi r),

where r is the radius of the circle.

Given that the central angle measure is 27 degrees, we can plug this into the formula:

\text{Arc Length} = \left( \frac{27^\circ}{360^\circ} \right) \times (2\pi r).

Now, simplify the fraction:

\frac{27}{360} = \frac{3}{40}.

So the formula becomes:

\text{Arc Length} = \left( \frac{3}{40} \right) \times (2\pi r) = \frac{3}{20} \pi r.

Therefore, the length of the arc with a central angle measure of 27 degrees is \frac{3}{20} \pi r , where r is the radius of the circle.

\boxed{\frac{3}{20} \pi r} is the length of the arc.