Answer:
Arc length is [tex]\frac{14\pi}{3}[/tex] , or, 14.7
Step-by-step explanation:
AB is an arc intercepted by 140 degree angle. The formula for length of an arc is given by
[tex]AL=\frac{\theta}{360}*2\pi r[/tex]
Where
AL is the arc length
[tex]\theta[/tex] is the angle (in our case, 140)
r is the radius of the circle (which is 6)
Substituting, we get:
[tex]AL=\frac{\theta}{360}*2\pi r\\AL=\frac{140}{360}*2\pi (6)\\AL=\frac{7}{18}*12\pi\\AL=\frac{14\pi}{3}[/tex]
In decimal (rounded to tenths) - 14.7
