Question

The diameter of a wheel from a bicycle is 66 cm about how far will the wheel travel in one complete turn. ​

Answer 1

To find the distance a bicycle wheel travels in one complete turn, calculate the circumference using the formula C = πd, which results in approximately 207.34 cm for a wheel with a diameter of 66 cm.

Step-by-step explanation:

The student is asking about the distance a bicycle wheel will travel in one complete turn. To find this distance, we can calculate the circumference of the wheel. The diameter of the wheel is given as 66 cm. The formula for the circumference (C) of a circle is C = πd, where d is the diameter and π (pi) is approximately 3.14159.

Using the formula:
C = π × 66 cm
C ≈ 3.14159 × 66 cm
C ≈ 207.34 cm

Therefore, in one complete turn, the wheel will travel approximately 207.34 cm.

Answer 2

since the diameter is 66 cm, then its radius is half that or 33 cm.

`\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=33\\ \underset{complete~turn}{\theta =2\pi ~\hfill } \end{cases}\implies s=(33)(2\pi )\implies s=66\pi \implies s\approx 207.34~cm`