Answer:
Step-by-step explanation:
Here x depends upon (is a function of) the circle radius. What is that radius?
If you let r represent the radius, then the shown arc length, following s = rФ, is s = 6x + 8 = rФ. Here, the angle Ф is the supplement of 140°, and thus is 40°.
All we need to do now is to convert 140° to radians:
140° π
------- * --------- = (7/9)π
1 180°
Then the arc length 6x + 8 = r(7/9)π, and so:
6x = r(7/9)π - 8, or
r(7/9)π - 8
x = ------------------
6
As you can see, x varies with the circle radius. If r = 1, then:
(7/9)π - 8
x = ------------------
6
