Question

PLEASE HELP ME WITH THIS MATH QUESTION

Answer 1

Arc length is
`(14\pi)/(3)` , or, 14.7

Explanation:

AB is an arc intercepted by 140 degree angle. The formula for length of an arc is given by

`AL=(\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=(\theta)/(360)*2\pi r\\AL=(140)/(360)*2\pi (6)\\AL=(7)/(18)*12\pi\\AL=(14\pi)/(3)`

In decimal (rounded to tenths) - 14.7