Question

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

Answer 1

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:

`A=(\theta)/(360)*2\pi r`

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):

`\begin{gathered} A=(\theta)/(360)*2\pi r \\ A=(70)/(360)*2\pi(3) \\ A=(7)/(36)*6\pi \\ A=(7\pi)/(6) \end{gathered}`

The total Arc Length is circumference, which is 2*pi*r

So, it will be:

`2\pi(3)=6\pi`

We know: