Question

plz help :)

Answer 1

angle in radians times the radius gives us the arclength. do you need further assistance?

Answer 2

yeah kinda

Answer 3

The radius of the circle is 12 so the circumference is 24pi.
The given arc is 15 That is 15/24pi of the entire circle. So the angle should be that fractional part of the circle also. The entire circle is 2 pi radians.
So:
\[\frac{15}{24\pi}=\frac{\theta}{2\pi}\]

Answer 4

\[24\pi (\theta)=15(2\pi)\]
Now if you divide both sides by 2 pi you will see where badreferences formula comes from.
\[\frac{24\pi(\theta)}{2\pi}=\frac{15(2\pi)}{2\pi}\]
\[12(\theta)=15\]
Radius times angle = arc length

Answer 5

Of course you want the angle. So divide both sides by 12 and get that
\[\theta=\frac{15}{12}=\frac{5}{4}\]

Answer 6

That is in radians, of course.