Final answer:
The approximate radius of a bicycle wheel that travels about 82 inches in one full rotation is about 13.06 inches, calculated using the formula for the circumference of a circle. Therefore, the approximate radius of the bicycle wheel is about 13.06 inches.
Step-by-step explanation:
To find the approximate radius of a bicycle wheel that travels about 82 inches in one full rotation, we can use the circumference formula of a circle. The circumference (C) of a circle is given by C = 2πr, where π (pi) is approximately 3.14159, and r is the radius. Since the wheel travels 82 inches per rotation, this is the circumference.
We can rearrange the formula to solve for the radius (r):
r = C / (2π)
Plugging in the given circumference:
r = 82 / (2 × 3.14159)
r ≈ 82 / 6.28318
r ≈ 13.06 inches
Therefore, the approximate radius of the bicycle wheel is about 13.06 inches.