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

Find the arc length of a central angle of pi/6 in

imstoopid69

10.03.2022

= 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

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wbrandi118

10.03.2022

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.

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mistiehaas

04.03.2022

11.45 x 5 is 57.25 so you would round it to 57 which would make it an underestimate

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