Question

Find the length of arc JM. use 3.14 for pi. round to nearest tenth

Answer 1

12.9

Explanation:

Answer 2

hello

to solve this problem, we need the formula of length of an arc

`\begin{gathered} L_{\text{arc}}=(\theta)/(360)*2\pi r \\ \end{gathered}`

t find the value of angle JM, we should take into cognizance that the sum of angles in a circle is equal to 360 degree and angle on a straight line is equal to 180 degree

`\begin{gathered} jk+jm+mk=360 \\ 180+jm+90=360 \\ 270+jm=360 \\ jm=360-270 \\ jm=90 \end{gathered}`

now we know the value of angle jm, let's find the length of the radius

`\begin{gathered} \text{radius}=\frac{\text{diameter}}{2} \\ \text{diameter}=16.4 \\ \text{radius(r)}=(16.4)/(2)=8.2\text{miles} \end{gathered}`

with all the necessary informations or data required, we can now proceed to solve for the length of arc jm

`\begin{gathered} L_{\text{arc}}=(\theta)/(360)*2\pi r \\ L_{\text{arc}}=(90)/(360)*2*3.14*8.2 \\ L=12.87\text{miles} \end{gathered}`

from the calculations above, the length of the arc is equals to 12.87 miles