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# Bicycle Wheels

SATMAT-MSOXY4

An adult bike wheel with a $26$-inch diameter rotates through a turn of $\frac { 8\pi }{ 13 }$ radians. A child's bike wheel with a $16$ -inch diameter rotates through a turn of $\frac { 3\pi }{ 4 }$ radians.

How much further does the adult bike travel than the child's bike? (No Calculator)

A

$8\pi \text{ inches}$

B

$5\pi \text{ inches}$

C

$4\pi \text{ inches}$

D

$2\pi \text{ inches}$