We need to find the length of the Arc LNM.
Let's find length of Arc LM.
The length of an arc is given by the formula:
[tex]A=\frac{\theta}{360}\times2\pi r[/tex]
Where
Theta is the angle subtended by the arc
r is the radius of the circle
For the given circle,
Radius is 3
Angle subtended is 70 degrees
Let's substitute into formula and find the Arc Length of LM (A):
[tex]\begin{gathered} A=\frac{\theta}{360}\times2\pi r \\ A=\frac{70}{360}\times2\pi(3) \\ A=\frac{7}{36}\times6\pi \\ A=\frac{7\pi}{6} \end{gathered}[/tex]
The total Arc Length is circumference, which is 2*pi*r
So, it will be:
[tex]2\pi(3)=6\pi[/tex]
We know:
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