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The circle has center K, and its radius is 3 yd. Given that m

The Circle Has Center K And Its Radius Is 3 Yd Given That M class=

Sagot :

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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