If circular arcs A C and B C have centers at B and A, respectively, then there exists a circle tangent to both \overparen{A C} and \overparen{B C}, and to \overline{A B}. If the length of \overparen{B C} is 12 , then the circumference of the circle is

**Answer Choices**

A. 24

B. 25

C. 26

D. 27

E. 28