Question

PLEASE HELP ME WITH THIS MATH QUESTION

Answer 1

Answer:

Arc length is  $\frac{14\pi}{3}$ ,  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

$AL=\frac{\theta}{360}*2\pi r$

Where

AL is the arc length

$\theta$  is the angle (in our case, 140)

r is the radius of the circle (which is 6)

Substituting, we get:

$AL=\frac{\theta}{360}*2\pi r\\AL=\frac{140}{360}*2\pi (6)\\AL=\frac{7}{18}*12\pi\\AL=\frac{14\pi}{3}$

In decimal (rounded to tenths) -  14.7