The minute hand on a clock is 10 centimeters long and travels through an arc of 108° every 18 minutes.121110108°-9238476 5Which measure is closest to the length of the arc the m…

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Luke Pistrol · Answer 1 · 2023-12-17T11:48:54+0000

The formula for the length of an arc(l) is,

$l=(\theta)/(360^0)*2\pi r$

Given data

$\begin{gathered} \theta=108^0 \\ \pi=3.14 \\ r=\text{radius}=10\operatorname{cm} \end{gathered}$

Solving for the length of the arc

$\begin{gathered} l=(108^0)/(360^0)*2*3.14*10cm \\ l=0.3*2*3.14*10\operatorname{cm} \\ l=18.84\operatorname{cm}\approx18.8\operatorname{cm}(\text{nearest tenth)} \\ \therefore l=18.8\operatorname{cm} \end{gathered}$

Hence, the length of the arc is 18.8cm.

The correct option is Option D.

The minute hand on a clock is 10 centimeters long and travels through an arc of 108° every 18 minutes.121110108°-9238476 5Which measure is closest to the length of the arc the m…

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