Question

Find the arc length of a central angle 300 degrees in a circle whose radius is 2 inches? help now ASP I NEED HELP A.10 π/ 3 in

Answer 1

Answer:  A. $\dfrac{10}{3}\pi\ in.$

Step-by-step explanation:

The formula to calculate the arc length with central angle x and radius r given by :-

$l=\dfrac{x}{360^{\circ}}\times2\pi r$

Given: Radius of circle 'r'= 2 inches

The central angle 'x'= $300^{\circ]$

Now, the arc length of a central angle $300^{\circ]$ in a circle whose radius is 2 inches is given by :-

$l=\dfrac{300^{\circ]}{360^{\circ}}\times2\pi (2)\\\\\Rightarrow\ l=\dfrac{10}{3}\pi\ in.$

Answer 2

$\text{Arc length } = \frac{\theta}{360}2\pi r$

$= (\frac{300}{360})2\pi (2)$

$= 4\pi(\frac{300}{360})$

$= 4\pi(\frac{5}{6})$

$= \frac{20\pi}{6}$

$= \frac{10\pi}{3} \text{ in}$