Answer:
The length of AB is 10π units .
Step-by-step explanation:
Firstly, you have to convert degrees into radian by using the formula :
[tex]rad = \frac{θ}{180} \times \pi[/tex]
Let θ = 150°
[tex] \frac{150}{180} \times \pi[/tex]
[tex] = \frac{5}{6} \pi[/tex]
Next, you have to use the length of arc formula for radian where s is the length and r is the radius :
[tex]s = rθ[/tex]
Let r = 12 units,
Let θ = (5/6)π rad,
[tex]s = 12 \times \frac{5}{6} \pi[/tex]
[tex]s = 10\pi \: units[/tex]
