Question

In a circle of radius 30 inches, a central angle of 35° will intersect the circle

forming an arc of length

Answer 1

Answer: 18.33 inches

Explanation:

A P E X

Answer 2

`\bf \textit{arc's length}\\\\ s=\cfrac{\pi \theta r}{180}~~ \begin{cases} r=&radius\\ \theta =&angle~in\\ &degrees\\ \cline{1-2} r=&30\\ \theta =&35 \end{cases}\implies s=\cfrac{\pi (35)(30)}{180} \\\\\\ s=\cfrac{35\pi }{6}\implies s\approx 18.32596`