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SAT® Math

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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}$