Question 236330
r = radius of the circle.


circumference of the circle = 2*pi*r


3*r + 8.2 = 2*pi*r


solve for r.


subtract 2*pi*r from both sides of the equation and subtract 8.2 from both sides of the equation to get:


3*r - 2*pi*r = -8.2


factor out the r to get:


r * (3-2*pi) = -8.2


divide both sides of the equation by (3-2*pi) to get:


r = -8.2 / (3-2*pi)


simplify to get:


r = 2.49757453


3*r + 8.2 = 156.9272359


2*pi*r = 156.9272359


Since they are the same, the answer is confirmed.


the answer is:


r = 2.49757453 centimeters.