SOLUTION: how do you find the perimeter of a shaded region of a circle the shaded region is 140 degrees

Algebra ->  Circles -> SOLUTION: how do you find the perimeter of a shaded region of a circle the shaded region is 140 degrees      Log On


   

Question 979529: how do you find the perimeter of a shaded region of a circle
the shaded region is 140 degrees
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the arc length using the arc length formula.
S=R%2Atheta
Here R is the radius of the circle.
Convert the angle to radians.
theta=140%28%282pi%29%2F360%29=%287pi%29%2F9
So,
S=R%2A%28%287pi%29%2F9%29
In addition add the radius twice to get the perimeter of the pie slice.
P=R%2BR%2B%28%287pi%29%2F9%29
P=%282%2B%287pi%29%2F9%29R