Solve the Problem $86 \%$ As Far as on the Previous Swing

Multiple Choice

Solve the problem.
-A pendulum bob swings through an arc 40 inches long on its first swing. Each swing thereafter, it swings only $86 \%$ as far as on the previous swing. What is the length of the arc after 11 swings? Round your answer to two decimal places, if necessary.

A) $7.61 \mathrm { in }$ .
B) $344 \mathrm { in }$ .
C) $8.85 \mathrm { in } .$
D) $6.55 \mathrm { in } .$