Question

Find the length of the arc using radians. Show all work, including the conversion from degrees to radians.
**Open to see the diagram**

Answer 1

A radian is equal to the angle made with one radius, right?

Answer 2

mhm

Answer 3

Now, first turn the degrees into radians:
\[\huge{\theta_r=\theta_d\times\frac{\pi}{180}}\]

Answer 4

Find what \(\theta_r\) is

Answer 5

2pi/9?

Answer 6

Great. That is the radian of the angle

Answer 7

ok , now how do I find the length of the arc?

Answer 8

Simply multiply the radian and the radius
\[\Huge{Arc=\theta_r\times r}\]

Answer 9

so 2pi/9 * 9?

Answer 10

so it's just be 2pi?

Answer 11

Yes

Answer 12

okay! Thankyou!

Answer 13

No problem :D