NatalynnX569215 NatalynnX569215
  • 25-10-2022
  • Mathematics
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What is the length of LM expressed in terms of pi?

What is the length of LM expressed in terms of pi class=

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NolynJ585165 NolynJ585165
  • 25-10-2022

The length of an arc LM is given by the formula:

[tex]\begin{gathered} L=\frac{\theta}{360}\times2\pi r \\ \theta=72^0 \\ r=1\text{ unit} \end{gathered}[/tex]

Hence,

[tex]\begin{gathered} L=\frac{72}{360}\times2\pi\times1 \\ =\frac{1}{5}\times2\pi \\ =\frac{2\pi}{5} \\ =0.4\pi \\ \\ \text{Hence, the length of the arc in terms of }\pi\text{ is 0.4}\pi \end{gathered}[/tex]

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