The arc MPN is a major arc, and the length of arc MPN is 79/9π
How to determine the arc length?
The given parameters are:
Ф = 360 - 44
Radius, r = 5
The arc length is then calculated using:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
So, we have:
[tex]L = \frac{360 - 44}{360} * 2\pi * 5[/tex]
[tex]L = \frac{316}{360} * 2\pi * 5[/tex]
Evaluate the product
[tex]L = \frac{3160}{360} \pi[/tex]
Divide
[tex]L = \frac{79}9 \pi[/tex]
Hence, the length of arc MPN is 79/9π
Read more about arc lengths at:
https://brainly.com/question/15589041
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