If two tangent segments to a circle share a common endpoint outside the circle, then the two segments are congruent. Using this fact, we can find the unknown length in the given diagram.
Finally, we can find the perimeter of the circumscribed polygon by adding all the side lengths.
P&= 2.1+ 2.1+ 1.6+ 1.6+1.9+1.9+1.5+1.5
P&=14.2 in.
