Question

Find the arc length of a sector with a radius of 9 feet and a central angle of 18°. Give answer in
terms of pi.

Answer 1

Answer:

The arc length of a sector:

$A = \frac{9}{10} \pi$

Step-by-step explanation:

-The equation for finding the Arc length, would be:

$Arc length = \frac{a}{360\textdegree} 2\pi r$

-Use the given radius and the central angle for the equation:

$A = \frac{18\textdegree}{360\textdegree} 2\pi (9)$

-Then, solve the equation:

$A = \frac{18\textdegree}{360\textdegree} \times 2\pi \times 9$

$A = \frac{1}{20} \times 2\pi \times 9$

$A = \frac{2}{20}\pi \times 9$

$A = \frac{1}{10}\pi \times 9$

$A = \frac{9}{10}\pi$

So, the arc length of a sector is $\frac{9}{10} \pi$ .