Question

Find the value of x.

Select one:
a. 6.1 inches
b. 3.3 inches
c. 4.1 inches
d. 2.3 inches

Answer 1

`\bf \textit{arc's length}\\\\s=\cfrac{\theta \pi r}{180}~~\begin{cases}r=radius\\\theta =angle~in\\\qquad degrees\\------\\r=3\\\theta =78\end{cases}\implies s=\cfrac{(78)\pi (3)}{180}\implies s=\cfrac{13\pi }{10}`

and you can round that up as needed.