Question

A circle with a central that measures 1° has a radius of 10 inches. Find the length of the intercepted .

Answer 1

$\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}\quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ \theta =1\\ r=10 \end{cases}\implies s=\cfrac{1\cdot \pi \cdot 10}{180}$