Question

if the diameter of the circle is 6 inches, how long is the arc distended by an angle measuring 70

Answer 1

notice that, if the diameter is 6 inches, then the radius is half that,

$\bf \textit{arc's length}\\\\ s=\cfrac{\pi r\theta }{180}\quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=3\\ \theta =70 \end{cases}\implies s=\cfrac{\pi \cdot 3\cdot 70}{180}$