Question

Find the arc length of a central angle of pi/6 in a circle whose radius is 10 inches.

Answer 1

Answer:

= 5/3 * pi  inches

  or approximately 5.235987756 inches

Step-by-step explanation:

The formula for arc length = r * theta  where theta is in radians

arc length = 10 * pi/6

                 = 10/6 * pi

                = 5/3 * pi

                or approximately 5.235987756 inches

Answer 2

Answer: 5.23 inches

Step-by-step explanation:

Let the length of the arc intersected by a central angle x be l.

Given:- Central angle$x=\frac{\pi}{6}\text{ radians}$

Radius r= 10 inches

We know that ,

$l=x\ r\\\\\Rightarrow\ l=\frac{\pi}{6}\times10\\\\\Rightarrow\ l=\frac{3.14\times10}{6}= 5.2333333333\approx5.23\text{ inches}$

Thus, the length of the arc of a central angle $\frac{\pi}{6}\text{ radians}$ is 5.23 inches.