Question

Given a circle with a radius of 6, what the the length of an arc measuring 30 degrees

Answer 1

`\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}\quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=6\\ \theta =30 \end{cases}\implies s=\cfrac{30\cdot \pi \cdot 6}{180}\implies s=\pi`