Question

At the farmer's market, there is a scale that measures the weight of fruit and vegetables. The needle is 16cm long, and it rotated 68º when Danielle placed six oranges on it. How far did the needle travel as it rotated?
A. 272π/45
B. 45π/272
C. 1088π
D. 544π

Answer 1

$\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}\quad \begin{cases} r=radius\\ \theta =angle\ in\\ \qquad degrees\\ -------\\ r=16\\ \theta =68 \end{cases}\implies s=\cfrac{68\cdot \pi \cdot 16}{180}\implies \cfrac{272\pi }{45}$