Answer :
[tex]\text{Arc length } = \frac{\theta}{360}2\pi r [/tex]
[tex]= (\frac{300}{360})2\pi (2)[/tex]
[tex]= 4\pi(\frac{300}{360})[/tex]
[tex]= 4\pi(\frac{5}{6})[/tex]
[tex]= \frac{20\pi}{6}[/tex]
[tex]= \frac{10\pi}{3} \text{ in}[/tex]
[tex]= (\frac{300}{360})2\pi (2)[/tex]
[tex]= 4\pi(\frac{300}{360})[/tex]
[tex]= 4\pi(\frac{5}{6})[/tex]
[tex]= \frac{20\pi}{6}[/tex]
[tex]= \frac{10\pi}{3} \text{ in}[/tex]
Answer: A. [tex]\dfrac{10}{3}\pi\ in.[/tex]
Step-by-step explanation:
The formula to calculate the arc length with central angle x and radius r given by :-
[tex]l=\dfrac{x}{360^{\circ}}\times2\pi r[/tex]
Given: Radius of circle 'r'= 2 inches
The central angle 'x'= [tex]300^{\circ][/tex]
Now, the arc length of a central angle [tex]300^{\circ][/tex] in a circle whose radius is 2 inches is given by :-
[tex]l=\dfrac{300^{\circ]}{360^{\circ}}\times2\pi (2)\\\\\Rightarrow\ l=\dfrac{10}{3}\pi\ in.[/tex]