Question

What is the degree measure of an arc 4 ft. long in a circle of radius 10 ft.?

Answer 1

\(\bf \textit{arc's length}=s=\cfrac{r{\color{blue}{ \theta}}\pi}{180}\qquad
\begin{cases}
s=4\\
r=10
\end{cases}\qquad 4=\cfrac{10{\color{blue}{ \theta}}\pi}{180}\)

solve for the angle, that is \(\color{blue}{ \theta}\)