Question

A bicycle wheel with radius 26" rotates through an arc that measures 80°. What is the length of the arc of the tire that touched the ground?

Answer 1

$\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}\quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ \theta = 80\\ r=26 \end{cases}\implies s=\cfrac{80\cdot \pi \cdot 26}{180}$